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Finding the Fourth Proportional to 10,031.40, 13,350.78 and 10,031.40

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Solution

The fourth proportional to 10,031.40, 13,350.78 and 10,031.40 is: 13,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.40 : 13,350.78 = 10,031.40 : x
  2. Step 2: Convert to fraction form
    10,031.40/13,350.78 = 10,031.40/x
  3. Step 3: Cross multiply
    10,031.40x = 13,350.78 × 10,031.40
  4. Step 4: Simplify right side
    10,031.40x = 133,927,014.49
  5. Step 5: Solve for x
    x = 133,927,014.49/10,031.40
  6. Step 6: Final answer
    x = 13,350.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.