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Finding the Fourth Proportional to 7,641.54, 10,545.76 and 4,285.43

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Solution

The fourth proportional to 7,641.54, 10,545.76 and 4,285.43 is: 5,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.54 : 10,545.76 = 4,285.43 : x
  2. Step 2: Convert to fraction form
    7,641.54/10,545.76 = 4,285.43/x
  3. Step 3: Cross multiply
    7,641.54x = 10,545.76 × 4,285.43
  4. Step 4: Simplify right side
    7,641.54x = 45,193,116.28
  5. Step 5: Solve for x
    x = 45,193,116.28/7,641.54
  6. Step 6: Final answer
    x = 5,914.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.