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Finding the Fourth Proportional to 16,782, 23,159.24 and 9,330

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Solution

The fourth proportional to 16,782, 23,159.24 and 9,330 is: 12,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782 : 23,159.24 = 9,330 : x
  2. Step 2: Convert to fraction form
    16,782/23,159.24 = 9,330/x
  3. Step 3: Cross multiply
    16,782x = 23,159.24 × 9,330
  4. Step 4: Simplify right side
    16,782x = 216,075,709.20
  5. Step 5: Solve for x
    x = 216,075,709.20/16,782
  6. Step 6: Final answer
    x = 12,875.44

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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.