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Finding the Fourth Proportional to 21,891.75, 32,829.12 and 7,097.10

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Solution

The fourth proportional to 21,891.75, 32,829.12 and 7,097.10 is: 10,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.75 : 32,829.12 = 7,097.10 : x
  2. Step 2: Convert to fraction form
    21,891.75/32,829.12 = 7,097.10/x
  3. Step 3: Cross multiply
    21,891.75x = 32,829.12 × 7,097.10
  4. Step 4: Simplify right side
    21,891.75x = 232,991,547.55
  5. Step 5: Solve for x
    x = 232,991,547.55/21,891.75
  6. Step 6: Final answer
    x = 10,642.89

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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.