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Finding the Fourth Proportional to 10,348.70, 15,523.05 and 9,838.40

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Solution

The fourth proportional to 10,348.70, 15,523.05 and 9,838.40 is: 14,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.70 : 15,523.05 = 9,838.40 : x
  2. Step 2: Convert to fraction form
    10,348.70/15,523.05 = 9,838.40/x
  3. Step 3: Cross multiply
    10,348.70x = 15,523.05 × 9,838.40
  4. Step 4: Simplify right side
    10,348.70x = 152,721,975.12
  5. Step 5: Solve for x
    x = 152,721,975.12/10,348.70
  6. Step 6: Final answer
    x = 14,757.60

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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.