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Finding the Fourth Proportional to 27,417.60, 41,126.40 and 7,696.80

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Solution

The fourth proportional to 27,417.60, 41,126.40 and 7,696.80 is: 11,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.60 : 41,126.40 = 7,696.80 : x
  2. Step 2: Convert to fraction form
    27,417.60/41,126.40 = 7,696.80/x
  3. Step 3: Cross multiply
    27,417.60x = 41,126.40 × 7,696.80
  4. Step 4: Simplify right side
    27,417.60x = 316,541,675.52
  5. Step 5: Solve for x
    x = 316,541,675.52/27,417.60
  6. Step 6: Final answer
    x = 11,545.20

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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.