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Finding the Fourth Proportional to 10,402.56, 15,603.23 and 3,006.86

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Solution

The fourth proportional to 10,402.56, 15,603.23 and 3,006.86 is: 4,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.56 : 15,603.23 = 3,006.86 : x
  2. Step 2: Convert to fraction form
    10,402.56/15,603.23 = 3,006.86/x
  3. Step 3: Cross multiply
    10,402.56x = 15,603.23 × 3,006.86
  4. Step 4: Simplify right side
    10,402.56x = 46,916,650.14
  5. Step 5: Solve for x
    x = 46,916,650.14/10,402.56
  6. Step 6: Final answer
    x = 4,510.11

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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.