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Finding the Fourth Proportional to 20,875.14, 31,304.49 and 7,718.49

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Solution

The fourth proportional to 20,875.14, 31,304.49 and 7,718.49 is: 11,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.14 : 31,304.49 = 7,718.49 : x
  2. Step 2: Convert to fraction form
    20,875.14/31,304.49 = 7,718.49/x
  3. Step 3: Cross multiply
    20,875.14x = 31,304.49 × 7,718.49
  4. Step 4: Simplify right side
    20,875.14x = 241,623,393.02
  5. Step 5: Solve for x
    x = 241,623,393.02/20,875.14
  6. Step 6: Final answer
    x = 11,574.70

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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.