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Finding the Fourth Proportional to 21,174.95, 31,762.41 and 7,323.95

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Solution

The fourth proportional to 21,174.95, 31,762.41 and 7,323.95 is: 10,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.95 : 31,762.41 = 7,323.95 : x
  2. Step 2: Convert to fraction form
    21,174.95/31,762.41 = 7,323.95/x
  3. Step 3: Cross multiply
    21,174.95x = 31,762.41 × 7,323.95
  4. Step 4: Simplify right side
    21,174.95x = 232,626,143.91
  5. Step 5: Solve for x
    x = 232,626,143.91/21,174.95
  6. Step 6: Final answer
    x = 10,985.91

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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.