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Finding the Fourth Proportional to 6,452.47, 9,678.68 and 4,260.68

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Solution

The fourth proportional to 6,452.47, 9,678.68 and 4,260.68 is: 6,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.47 : 9,678.68 = 4,260.68 : x
  2. Step 2: Convert to fraction form
    6,452.47/9,678.68 = 4,260.68/x
  3. Step 3: Cross multiply
    6,452.47x = 9,678.68 × 4,260.68
  4. Step 4: Simplify right side
    6,452.47x = 41,237,688.61
  5. Step 5: Solve for x
    x = 41,237,688.61/6,452.47
  6. Step 6: Final answer
    x = 6,390.99

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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.