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Finding the Fourth Proportional to 7,615.02, 11,416.86 and 5,142.90

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Solution

The fourth proportional to 7,615.02, 11,416.86 and 5,142.90 is: 7,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.02 : 11,416.86 = 5,142.90 : x
  2. Step 2: Convert to fraction form
    7,615.02/11,416.86 = 5,142.90/x
  3. Step 3: Cross multiply
    7,615.02x = 11,416.86 × 5,142.90
  4. Step 4: Simplify right side
    7,615.02x = 58,715,769.29
  5. Step 5: Solve for x
    x = 58,715,769.29/7,615.02
  6. Step 6: Final answer
    x = 7,710.52

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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.