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Finding the Fourth Proportional to 10,344.60, 15,516.90 and 9,858.60

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Solution

The fourth proportional to 10,344.60, 15,516.90 and 9,858.60 is: 14,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.60 : 15,516.90 = 9,858.60 : x
  2. Step 2: Convert to fraction form
    10,344.60/15,516.90 = 9,858.60/x
  3. Step 3: Cross multiply
    10,344.60x = 15,516.90 × 9,858.60
  4. Step 4: Simplify right side
    10,344.60x = 152,974,910.34
  5. Step 5: Solve for x
    x = 152,974,910.34/10,344.60
  6. Step 6: Final answer
    x = 14,787.90

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1.5x scale

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.