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Finding the Fourth Proportional to 21,993.31, 32,959.86 and 9,332.47

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Solution

The fourth proportional to 21,993.31, 32,959.86 and 9,332.47 is: 13,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.31 : 32,959.86 = 9,332.47 : x
  2. Step 2: Convert to fraction form
    21,993.31/32,959.86 = 9,332.47/x
  3. Step 3: Cross multiply
    21,993.31x = 32,959.86 × 9,332.47
  4. Step 4: Simplify right side
    21,993.31x = 307,596,904.65
  5. Step 5: Solve for x
    x = 307,596,904.65/21,993.31
  6. Step 6: Final answer
    x = 13,985.93

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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.