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Finding the Fourth Proportional to 6,511.58, 8,985.93 and 3,678.91

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Solution

The fourth proportional to 6,511.58, 8,985.93 and 3,678.91 is: 5,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.58 : 8,985.93 = 3,678.91 : x
  2. Step 2: Convert to fraction form
    6,511.58/8,985.93 = 3,678.91/x
  3. Step 3: Cross multiply
    6,511.58x = 8,985.93 × 3,678.91
  4. Step 4: Simplify right side
    6,511.58x = 33,058,427.74
  5. Step 5: Solve for x
    x = 33,058,427.74/6,511.58
  6. Step 6: Final answer
    x = 5,076.87

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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.