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Finding the Fourth Proportional to 12,354.66, 18,543.06 and 10,009.17

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Solution

The fourth proportional to 12,354.66, 18,543.06 and 10,009.17 is: 15,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.66 : 18,543.06 = 10,009.17 : x
  2. Step 2: Convert to fraction form
    12,354.66/18,543.06 = 10,009.17/x
  3. Step 3: Cross multiply
    12,354.66x = 18,543.06 × 10,009.17
  4. Step 4: Simplify right side
    12,354.66x = 185,600,639.86
  5. Step 5: Solve for x
    x = 185,600,639.86/12,354.66
  6. Step 6: Final answer
    x = 15,022.72

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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.