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Finding the Fourth Proportional to 6,442.80, 9,713.90 and 6,402.83

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Solution

The fourth proportional to 6,442.80, 9,713.90 and 6,402.83 is: 9,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.80 : 9,713.90 = 6,402.83 : x
  2. Step 2: Convert to fraction form
    6,442.80/9,713.90 = 6,402.83/x
  3. Step 3: Cross multiply
    6,442.80x = 9,713.90 × 6,402.83
  4. Step 4: Simplify right side
    6,442.80x = 62,196,369.75
  5. Step 5: Solve for x
    x = 62,196,369.75/6,442.80
  6. Step 6: Final answer
    x = 9,653.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.