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Finding the Fourth Proportional to 16,782.50, 23,159.93 and 9,330.50

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Solution

The fourth proportional to 16,782.50, 23,159.93 and 9,330.50 is: 12,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.50 : 23,159.93 = 9,330.50 : x
  2. Step 2: Convert to fraction form
    16,782.50/23,159.93 = 9,330.50/x
  3. Step 3: Cross multiply
    16,782.50x = 23,159.93 × 9,330.50
  4. Step 4: Simplify right side
    16,782.50x = 216,093,726.87
  5. Step 5: Solve for x
    x = 216,093,726.87/16,782.50
  6. Step 6: Final answer
    x = 12,876.13

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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.