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Finding the Fourth Proportional to 8,931.48, 13,364.82 and 7,284.12

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Solution

The fourth proportional to 8,931.48, 13,364.82 and 7,284.12 is: 10,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.48 : 13,364.82 = 7,284.12 : x
  2. Step 2: Convert to fraction form
    8,931.48/13,364.82 = 7,284.12/x
  3. Step 3: Cross multiply
    8,931.48x = 13,364.82 × 7,284.12
  4. Step 4: Simplify right side
    8,931.48x = 97,350,952.66
  5. Step 5: Solve for x
    x = 97,350,952.66/8,931.48
  6. Step 6: Final answer
    x = 10,899.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.