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Finding the Fourth Proportional to 2,925.68, 4,390.74 and 2,147.74

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Solution

The fourth proportional to 2,925.68, 4,390.74 and 2,147.74 is: 3,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.68 : 4,390.74 = 2,147.74 : x
  2. Step 2: Convert to fraction form
    2,925.68/4,390.74 = 2,147.74/x
  3. Step 3: Cross multiply
    2,925.68x = 4,390.74 × 2,147.74
  4. Step 4: Simplify right side
    2,925.68x = 9,430,156.95
  5. Step 5: Solve for x
    x = 9,430,156.95/2,925.68
  6. Step 6: Final answer
    x = 3,223.24

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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.