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Finding the Fourth Proportional to 14,478.75, 19,981.89 and 9,171.63

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Solution

The fourth proportional to 14,478.75, 19,981.89 and 9,171.63 is: 12,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.75 : 19,981.89 = 9,171.63 : x
  2. Step 2: Convert to fraction form
    14,478.75/19,981.89 = 9,171.63/x
  3. Step 3: Cross multiply
    14,478.75x = 19,981.89 × 9,171.63
  4. Step 4: Simplify right side
    14,478.75x = 183,266,501.78
  5. Step 5: Solve for x
    x = 183,266,501.78/14,478.75
  6. Step 6: Final answer
    x = 12,657.62

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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.