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Finding the Fourth Proportional to 11,686.86, 17,529.84 and 7,962.48

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Solution

The fourth proportional to 11,686.86, 17,529.84 and 7,962.48 is: 11,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.86 : 17,529.84 = 7,962.48 : x
  2. Step 2: Convert to fraction form
    11,686.86/17,529.84 = 7,962.48/x
  3. Step 3: Cross multiply
    11,686.86x = 17,529.84 × 7,962.48
  4. Step 4: Simplify right side
    11,686.86x = 139,581,000.40
  5. Step 5: Solve for x
    x = 139,581,000.40/11,686.86
  6. Step 6: Final answer
    x = 11,943.41

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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.