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Finding the Fourth Proportional to 10,510.08, 15,742.08 and 6,397.44

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Solution

The fourth proportional to 10,510.08, 15,742.08 and 6,397.44 is: 9,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.08 : 15,742.08 = 6,397.44 : x
  2. Step 2: Convert to fraction form
    10,510.08/15,742.08 = 6,397.44/x
  3. Step 3: Cross multiply
    10,510.08x = 15,742.08 × 6,397.44
  4. Step 4: Simplify right side
    10,510.08x = 100,709,012.28
  5. Step 5: Solve for x
    x = 100,709,012.28/10,510.08
  6. Step 6: Final answer
    x = 9,582.14

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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.