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Finding the Fourth Proportional to 25,854.50, 38,781.75 and 7,386.50

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Solution

The fourth proportional to 25,854.50, 38,781.75 and 7,386.50 is: 11,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.50 : 38,781.75 = 7,386.50 : x
  2. Step 2: Convert to fraction form
    25,854.50/38,781.75 = 7,386.50/x
  3. Step 3: Cross multiply
    25,854.50x = 38,781.75 × 7,386.50
  4. Step 4: Simplify right side
    25,854.50x = 286,461,396.38
  5. Step 5: Solve for x
    x = 286,461,396.38/25,854.50
  6. Step 6: Final answer
    x = 11,079.75

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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.