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Finding the Fourth Proportional to 7,165.81, 9,888.65 and 3,978.92

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Solution

The fourth proportional to 7,165.81, 9,888.65 and 3,978.92 is: 5,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.81 : 9,888.65 = 3,978.92 : x
  2. Step 2: Convert to fraction form
    7,165.81/9,888.65 = 3,978.92/x
  3. Step 3: Cross multiply
    7,165.81x = 9,888.65 × 3,978.92
  4. Step 4: Simplify right side
    7,165.81x = 39,346,147.26
  5. Step 5: Solve for x
    x = 39,346,147.26/7,165.81
  6. Step 6: Final answer
    x = 5,490.82

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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.