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Finding the Fourth Proportional to 2,592.44, 3,888.88 and 948.59

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Solution

The fourth proportional to 2,592.44, 3,888.88 and 948.59 is: 1,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.44 : 3,888.88 = 948.59 : x
  2. Step 2: Convert to fraction form
    2,592.44/3,888.88 = 948.59/x
  3. Step 3: Cross multiply
    2,592.44x = 3,888.88 × 948.59
  4. Step 4: Simplify right side
    2,592.44x = 3,688,945.45
  5. Step 5: Solve for x
    x = 3,688,945.45/2,592.44
  6. Step 6: Final answer
    x = 1,422.96

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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.