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Finding the Fourth Proportional to 10,006, 15,041.40 and 9,284.56

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Solution

The fourth proportional to 10,006, 15,041.40 and 9,284.56 is: 13,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006 : 15,041.40 = 9,284.56 : x
  2. Step 2: Convert to fraction form
    10,006/15,041.40 = 9,284.56/x
  3. Step 3: Cross multiply
    10,006x = 15,041.40 × 9,284.56
  4. Step 4: Simplify right side
    10,006x = 139,652,780.78
  5. Step 5: Solve for x
    x = 139,652,780.78/10,006
  6. Step 6: Final answer
    x = 13,956.90

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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.