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Finding the Fourth Proportional to 7,470.31, 10,278.22 and 7,285.79

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Solution

The fourth proportional to 7,470.31, 10,278.22 and 7,285.79 is: 10,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.31 : 10,278.22 = 7,285.79 : x
  2. Step 2: Convert to fraction form
    7,470.31/10,278.22 = 7,285.79/x
  3. Step 3: Cross multiply
    7,470.31x = 10,278.22 × 7,285.79
  4. Step 4: Simplify right side
    7,470.31x = 74,884,880.88
  5. Step 5: Solve for x
    x = 74,884,880.88/7,470.31
  6. Step 6: Final answer
    x = 10,024.33

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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.