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Finding the Fourth Proportional to 10,469.85, 15,688.36 and 8,903.41

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Solution

The fourth proportional to 10,469.85, 15,688.36 and 8,903.41 is: 13,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.85 : 15,688.36 = 8,903.41 : x
  2. Step 2: Convert to fraction form
    10,469.85/15,688.36 = 8,903.41/x
  3. Step 3: Cross multiply
    10,469.85x = 15,688.36 × 8,903.41
  4. Step 4: Simplify right side
    10,469.85x = 139,679,901.31
  5. Step 5: Solve for x
    x = 139,679,901.31/10,469.85
  6. Step 6: Final answer
    x = 13,341.16

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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.