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Finding the Fourth Proportional to 31,098.84, 46,648.28 and 7,725.30

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Solution

The fourth proportional to 31,098.84, 46,648.28 and 7,725.30 is: 11,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.84 : 46,648.28 = 7,725.30 : x
  2. Step 2: Convert to fraction form
    31,098.84/46,648.28 = 7,725.30/x
  3. Step 3: Cross multiply
    31,098.84x = 46,648.28 × 7,725.30
  4. Step 4: Simplify right side
    31,098.84x = 360,371,957.48
  5. Step 5: Solve for x
    x = 360,371,957.48/31,098.84
  6. Step 6: Final answer
    x = 11,587.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.