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Finding the Fourth Proportional to 2,647.76, 3,970.36 and 916.56

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Solution

The fourth proportional to 2,647.76, 3,970.36 and 916.56 is: 1,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.76 : 3,970.36 = 916.56 : x
  2. Step 2: Convert to fraction form
    2,647.76/3,970.36 = 916.56/x
  3. Step 3: Cross multiply
    2,647.76x = 3,970.36 × 916.56
  4. Step 4: Simplify right side
    2,647.76x = 3,639,073.16
  5. Step 5: Solve for x
    x = 3,639,073.16/2,647.76
  6. Step 6: Final answer
    x = 1,374.40

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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.