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Finding the Fourth Proportional to 7,105.74, 10,658.63 and 2,487.66

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Solution

The fourth proportional to 7,105.74, 10,658.63 and 2,487.66 is: 3,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.74 : 10,658.63 = 2,487.66 : x
  2. Step 2: Convert to fraction form
    7,105.74/10,658.63 = 2,487.66/x
  3. Step 3: Cross multiply
    7,105.74x = 10,658.63 × 2,487.66
  4. Step 4: Simplify right side
    7,105.74x = 26,515,047.51
  5. Step 5: Solve for x
    x = 26,515,047.51/7,105.74
  6. Step 6: Final answer
    x = 3,731.50

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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.