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Finding the Fourth Proportional to 31,459.50, 47,191.95 and 10,399.50

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Solution

The fourth proportional to 31,459.50, 47,191.95 and 10,399.50 is: 15,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.50 : 47,191.95 = 10,399.50 : x
  2. Step 2: Convert to fraction form
    31,459.50/47,191.95 = 10,399.50/x
  3. Step 3: Cross multiply
    31,459.50x = 47,191.95 × 10,399.50
  4. Step 4: Simplify right side
    31,459.50x = 490,772,684.03
  5. Step 5: Solve for x
    x = 490,772,684.03/31,459.50
  6. Step 6: Final answer
    x = 15,600.14

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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.