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Finding the Fourth Proportional to 4,610.57, 6,916.25 and 1,978.20

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Solution

The fourth proportional to 4,610.57, 6,916.25 and 1,978.20 is: 2,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.57 : 6,916.25 = 1,978.20 : x
  2. Step 2: Convert to fraction form
    4,610.57/6,916.25 = 1,978.20/x
  3. Step 3: Cross multiply
    4,610.57x = 6,916.25 × 1,978.20
  4. Step 4: Simplify right side
    4,610.57x = 13,681,730.70
  5. Step 5: Solve for x
    x = 13,681,730.70/4,610.57
  6. Step 6: Final answer
    x = 2,967.47

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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.