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Finding the Fourth Proportional to 11,655.56, 17,487.69 and 6,978.87

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Solution

The fourth proportional to 11,655.56, 17,487.69 and 6,978.87 is: 10,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.56 : 17,487.69 = 6,978.87 : x
  2. Step 2: Convert to fraction form
    11,655.56/17,487.69 = 6,978.87/x
  3. Step 3: Cross multiply
    11,655.56x = 17,487.69 × 6,978.87
  4. Step 4: Simplify right side
    11,655.56x = 122,044,315.11
  5. Step 5: Solve for x
    x = 122,044,315.11/11,655.56
  6. Step 6: Final answer
    x = 10,470.91

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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.