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Finding the Fourth Proportional to 15,830.92, 23,746.94 and 12,139.88

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Solution

The fourth proportional to 15,830.92, 23,746.94 and 12,139.88 is: 18,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.92 : 23,746.94 = 12,139.88 : x
  2. Step 2: Convert to fraction form
    15,830.92/23,746.94 = 12,139.88/x
  3. Step 3: Cross multiply
    15,830.92x = 23,746.94 × 12,139.88
  4. Step 4: Simplify right side
    15,830.92x = 288,285,001.97
  5. Step 5: Solve for x
    x = 288,285,001.97/15,830.92
  6. Step 6: Final answer
    x = 18,210.25

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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.