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Finding the Fourth Proportional to 5,125.85, 7,074 and 3,864.68

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Solution

The fourth proportional to 5,125.85, 7,074 and 3,864.68 is: 5,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.85 : 7,074 = 3,864.68 : x
  2. Step 2: Convert to fraction form
    5,125.85/7,074 = 3,864.68/x
  3. Step 3: Cross multiply
    5,125.85x = 7,074 × 3,864.68
  4. Step 4: Simplify right side
    5,125.85x = 27,338,710.95
  5. Step 5: Solve for x
    x = 27,338,710.95/5,125.85
  6. Step 6: Final answer
    x = 5,333.50

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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.