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Finding the Fourth Proportional to 1,415.76, 2,117.76 and 1,280.76

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Solution

The fourth proportional to 1,415.76, 2,117.76 and 1,280.76 is: 1,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.76 : 2,117.76 = 1,280.76 : x
  2. Step 2: Convert to fraction form
    1,415.76/2,117.76 = 1,280.76/x
  3. Step 3: Cross multiply
    1,415.76x = 2,117.76 × 1,280.76
  4. Step 4: Simplify right side
    1,415.76x = 2,712,342.30
  5. Step 5: Solve for x
    x = 2,712,342.30/1,415.76
  6. Step 6: Final answer
    x = 1,915.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.