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Finding the Fourth Proportional to 2,981.61, 4,114.75 and 2,483.38

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Solution

The fourth proportional to 2,981.61, 4,114.75 and 2,483.38 is: 3,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.61 : 4,114.75 = 2,483.38 : x
  2. Step 2: Convert to fraction form
    2,981.61/4,114.75 = 2,483.38/x
  3. Step 3: Cross multiply
    2,981.61x = 4,114.75 × 2,483.38
  4. Step 4: Simplify right side
    2,981.61x = 10,218,503.02
  5. Step 5: Solve for x
    x = 10,218,503.02/2,981.61
  6. Step 6: Final answer
    x = 3,427.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.