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Finding the Fourth Proportional to 15,641.76, 23,454.24 and 6,866.40

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Solution

The fourth proportional to 15,641.76, 23,454.24 and 6,866.40 is: 10,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.76 : 23,454.24 = 6,866.40 : x
  2. Step 2: Convert to fraction form
    15,641.76/23,454.24 = 6,866.40/x
  3. Step 3: Cross multiply
    15,641.76x = 23,454.24 × 6,866.40
  4. Step 4: Simplify right side
    15,641.76x = 161,046,193.54
  5. Step 5: Solve for x
    x = 161,046,193.54/15,641.76
  6. Step 6: Final answer
    x = 10,295.91

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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.