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Finding the Fourth Proportional to 15,892.50, 21,931.65 and 10,303.50

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Solution

The fourth proportional to 15,892.50, 21,931.65 and 10,303.50 is: 14,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.50 : 21,931.65 = 10,303.50 : x
  2. Step 2: Convert to fraction form
    15,892.50/21,931.65 = 10,303.50/x
  3. Step 3: Cross multiply
    15,892.50x = 21,931.65 × 10,303.50
  4. Step 4: Simplify right side
    15,892.50x = 225,972,755.78
  5. Step 5: Solve for x
    x = 225,972,755.78/15,892.50
  6. Step 6: Final answer
    x = 14,218.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.