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Finding the Fourth Proportional to 15,400.40, 23,095.20 and 8,002.40

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Solution

The fourth proportional to 15,400.40, 23,095.20 and 8,002.40 is: 12,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.40 : 23,095.20 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    15,400.40/23,095.20 = 8,002.40/x
  3. Step 3: Cross multiply
    15,400.40x = 23,095.20 × 8,002.40
  4. Step 4: Simplify right side
    15,400.40x = 184,817,028.48
  5. Step 5: Solve for x
    x = 184,817,028.48/15,400.40
  6. Step 6: Final answer
    x = 12,000.79

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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.