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Finding the Fourth Proportional to 2,242.82, 3,095 and 1,248.12

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Solution

The fourth proportional to 2,242.82, 3,095 and 1,248.12 is: 1,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.82 : 3,095 = 1,248.12 : x
  2. Step 2: Convert to fraction form
    2,242.82/3,095 = 1,248.12/x
  3. Step 3: Cross multiply
    2,242.82x = 3,095 × 1,248.12
  4. Step 4: Simplify right side
    2,242.82x = 3,862,931.40
  5. Step 5: Solve for x
    x = 3,862,931.40/2,242.82
  6. Step 6: Final answer
    x = 1,722.35

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1.5x scale

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.