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Finding the Fourth Proportional to 7,489.54, 10,330.77 and 4,506.31

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Solution

The fourth proportional to 7,489.54, 10,330.77 and 4,506.31 is: 6,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.54 : 10,330.77 = 4,506.31 : x
  2. Step 2: Convert to fraction form
    7,489.54/10,330.77 = 4,506.31/x
  3. Step 3: Cross multiply
    7,489.54x = 10,330.77 × 4,506.31
  4. Step 4: Simplify right side
    7,489.54x = 46,553,652.16
  5. Step 5: Solve for x
    x = 46,553,652.16/7,489.54
  6. Step 6: Final answer
    x = 6,215.82

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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.