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Finding the Fourth Proportional to 12,170.52, 16,795.08 and 7,978.50

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Solution

The fourth proportional to 12,170.52, 16,795.08 and 7,978.50 is: 11,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.52 : 16,795.08 = 7,978.50 : x
  2. Step 2: Convert to fraction form
    12,170.52/16,795.08 = 7,978.50/x
  3. Step 3: Cross multiply
    12,170.52x = 16,795.08 × 7,978.50
  4. Step 4: Simplify right side
    12,170.52x = 133,999,545.78
  5. Step 5: Solve for x
    x = 133,999,545.78/12,170.52
  6. Step 6: Final answer
    x = 11,010.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.