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Finding the Fourth Proportional to 10,009.80, 15,014.70 and 9,815.40

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Solution

The fourth proportional to 10,009.80, 15,014.70 and 9,815.40 is: 14,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.80 : 15,014.70 = 9,815.40 : x
  2. Step 2: Convert to fraction form
    10,009.80/15,014.70 = 9,815.40/x
  3. Step 3: Cross multiply
    10,009.80x = 15,014.70 × 9,815.40
  4. Step 4: Simplify right side
    10,009.80x = 147,375,286.38
  5. Step 5: Solve for x
    x = 147,375,286.38/10,009.80
  6. Step 6: Final answer
    x = 14,723.10

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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.