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Finding the Fourth Proportional to 1,548.76, 2,137.82 and 927.76

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Solution

The fourth proportional to 1,548.76, 2,137.82 and 927.76 is: 1,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.76 : 2,137.82 = 927.76 : x
  2. Step 2: Convert to fraction form
    1,548.76/2,137.82 = 927.76/x
  3. Step 3: Cross multiply
    1,548.76x = 2,137.82 × 927.76
  4. Step 4: Simplify right side
    1,548.76x = 1,983,383.88
  5. Step 5: Solve for x
    x = 1,983,383.88/1,548.76
  6. Step 6: Final answer
    x = 1,280.63

Related Problems

Find fourth proportional to 774.38, 1,068.91 and 463.88
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.