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Finding the Fourth Proportional to 9,807.93, 13,540.64 and 6,456.56

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Solution

The fourth proportional to 9,807.93, 13,540.64 and 6,456.56 is: 8,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.93 : 13,540.64 = 6,456.56 : x
  2. Step 2: Convert to fraction form
    9,807.93/13,540.64 = 6,456.56/x
  3. Step 3: Cross multiply
    9,807.93x = 13,540.64 × 6,456.56
  4. Step 4: Simplify right side
    9,807.93x = 87,425,854.61
  5. Step 5: Solve for x
    x = 87,425,854.61/9,807.93
  6. Step 6: Final answer
    x = 8,913.79

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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.