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Finding the Fourth Proportional to 9,415.52, 12,991.98 and 5,381.64

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Solution

The fourth proportional to 9,415.52, 12,991.98 and 5,381.64 is: 7,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.52 : 12,991.98 = 5,381.64 : x
  2. Step 2: Convert to fraction form
    9,415.52/12,991.98 = 5,381.64/x
  3. Step 3: Cross multiply
    9,415.52x = 12,991.98 × 5,381.64
  4. Step 4: Simplify right side
    9,415.52x = 69,918,159.25
  5. Step 5: Solve for x
    x = 69,918,159.25/9,415.52
  6. Step 6: Final answer
    x = 7,425.84

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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.