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Finding the Fourth Proportional to 3,119.97, 4,681.14 and 928.71

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Solution

The fourth proportional to 3,119.97, 4,681.14 and 928.71 is: 1,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.97 : 4,681.14 = 928.71 : x
  2. Step 2: Convert to fraction form
    3,119.97/4,681.14 = 928.71/x
  3. Step 3: Cross multiply
    3,119.97x = 4,681.14 × 928.71
  4. Step 4: Simplify right side
    3,119.97x = 4,347,421.53
  5. Step 5: Solve for x
    x = 4,347,421.53/3,119.97
  6. Step 6: Final answer
    x = 1,393.42

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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.