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Finding the Fourth Proportional to 9,666.54, 13,332.42 and 6,478.84

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Solution

The fourth proportional to 9,666.54, 13,332.42 and 6,478.84 is: 8,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.54 : 13,332.42 = 6,478.84 : x
  2. Step 2: Convert to fraction form
    9,666.54/13,332.42 = 6,478.84/x
  3. Step 3: Cross multiply
    9,666.54x = 13,332.42 × 6,478.84
  4. Step 4: Simplify right side
    9,666.54x = 86,378,575.89
  5. Step 5: Solve for x
    x = 86,378,575.89/9,666.54
  6. Step 6: Final answer
    x = 8,935.83

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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.