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Finding the Fourth Proportional to 21,957.47, 32,941.45 and 7,166.42

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Solution

The fourth proportional to 21,957.47, 32,941.45 and 7,166.42 is: 10,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.47 : 32,941.45 = 7,166.42 : x
  2. Step 2: Convert to fraction form
    21,957.47/32,941.45 = 7,166.42/x
  3. Step 3: Cross multiply
    21,957.47x = 32,941.45 × 7,166.42
  4. Step 4: Simplify right side
    21,957.47x = 236,072,266.11
  5. Step 5: Solve for x
    x = 236,072,266.11/21,957.47
  6. Step 6: Final answer
    x = 10,751.34

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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.