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Finding the Fourth Proportional to 10,347.70, 15,521.55 and 9,837.40

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Solution

The fourth proportional to 10,347.70, 15,521.55 and 9,837.40 is: 14,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.70 : 15,521.55 = 9,837.40 : x
  2. Step 2: Convert to fraction form
    10,347.70/15,521.55 = 9,837.40/x
  3. Step 3: Cross multiply
    10,347.70x = 15,521.55 × 9,837.40
  4. Step 4: Simplify right side
    10,347.70x = 152,691,695.97
  5. Step 5: Solve for x
    x = 152,691,695.97/10,347.70
  6. Step 6: Final answer
    x = 14,756.10

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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.