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Finding the Fourth Proportional to 2,650.38, 3,972.33 and 916.98

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Solution

The fourth proportional to 2,650.38, 3,972.33 and 916.98 is: 1,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.38 : 3,972.33 = 916.98 : x
  2. Step 2: Convert to fraction form
    2,650.38/3,972.33 = 916.98/x
  3. Step 3: Cross multiply
    2,650.38x = 3,972.33 × 916.98
  4. Step 4: Simplify right side
    2,650.38x = 3,642,547.16
  5. Step 5: Solve for x
    x = 3,642,547.16/2,650.38
  6. Step 6: Final answer
    x = 1,374.35

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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.