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Finding the Fourth Proportional to 3,291.57, 4,916.34 and 2,978.74

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Solution

The fourth proportional to 3,291.57, 4,916.34 and 2,978.74 is: 4,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.57 : 4,916.34 = 2,978.74 : x
  2. Step 2: Convert to fraction form
    3,291.57/4,916.34 = 2,978.74/x
  3. Step 3: Cross multiply
    3,291.57x = 4,916.34 × 2,978.74
  4. Step 4: Simplify right side
    3,291.57x = 14,644,459.14
  5. Step 5: Solve for x
    x = 14,644,459.14/3,291.57
  6. Step 6: Final answer
    x = 4,449.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.