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Finding the Fourth Proportional to 29,531.32, 40,751.67 and 16,782.80

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Solution

The fourth proportional to 29,531.32, 40,751.67 and 16,782.80 is: 23,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.32 : 40,751.67 = 16,782.80 : x
  2. Step 2: Convert to fraction form
    29,531.32/40,751.67 = 16,782.80/x
  3. Step 3: Cross multiply
    29,531.32x = 40,751.67 × 16,782.80
  4. Step 4: Simplify right side
    29,531.32x = 683,926,986.45
  5. Step 5: Solve for x
    x = 683,926,986.45/29,531.32
  6. Step 6: Final answer
    x = 23,159.38

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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.