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Finding the Fourth Proportional to 5,142.66, 7,707.50 and 4,287.30

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Solution

The fourth proportional to 5,142.66, 7,707.50 and 4,287.30 is: 6,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.66 : 7,707.50 = 4,287.30 : x
  2. Step 2: Convert to fraction form
    5,142.66/7,707.50 = 4,287.30/x
  3. Step 3: Cross multiply
    5,142.66x = 7,707.50 × 4,287.30
  4. Step 4: Simplify right side
    5,142.66x = 33,044,364.75
  5. Step 5: Solve for x
    x = 33,044,364.75/5,142.66
  6. Step 6: Final answer
    x = 6,425.54

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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.