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Finding the Fourth Proportional to 6,442.40, 9,666.74 and 3,153.74

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Solution

The fourth proportional to 6,442.40, 9,666.74 and 3,153.74 is: 4,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.40 : 9,666.74 = 3,153.74 : x
  2. Step 2: Convert to fraction form
    6,442.40/9,666.74 = 3,153.74/x
  3. Step 3: Cross multiply
    6,442.40x = 9,666.74 × 3,153.74
  4. Step 4: Simplify right side
    6,442.40x = 30,486,344.16
  5. Step 5: Solve for x
    x = 30,486,344.16/6,442.40
  6. Step 6: Final answer
    x = 4,732.14

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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.