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Finding the Fourth Proportional to 29,216, 43,802.13 and 9,482.78

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Solution

The fourth proportional to 29,216, 43,802.13 and 9,482.78 is: 14,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216 : 43,802.13 = 9,482.78 : x
  2. Step 2: Convert to fraction form
    29,216/43,802.13 = 9,482.78/x
  3. Step 3: Cross multiply
    29,216x = 43,802.13 × 9,482.78
  4. Step 4: Simplify right side
    29,216x = 415,365,962.32
  5. Step 5: Solve for x
    x = 415,365,962.32/29,216
  6. Step 6: Final answer
    x = 14,217.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.