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Finding the Fourth Proportional to 10,809.72, 14,915.34 and 6,615

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Solution

The fourth proportional to 10,809.72, 14,915.34 and 6,615 is: 9,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.72 : 14,915.34 = 6,615 : x
  2. Step 2: Convert to fraction form
    10,809.72/14,915.34 = 6,615/x
  3. Step 3: Cross multiply
    10,809.72x = 14,915.34 × 6,615
  4. Step 4: Simplify right side
    10,809.72x = 98,664,974.10
  5. Step 5: Solve for x
    x = 98,664,974.10/10,809.72
  6. Step 6: Final answer
    x = 9,127.43

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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.