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Finding the Fourth Proportional to 2,077.38, 3,116.98 and 907.20

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Solution

The fourth proportional to 2,077.38, 3,116.98 and 907.20 is: 1,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.38 : 3,116.98 = 907.20 : x
  2. Step 2: Convert to fraction form
    2,077.38/3,116.98 = 907.20/x
  3. Step 3: Cross multiply
    2,077.38x = 3,116.98 × 907.20
  4. Step 4: Simplify right side
    2,077.38x = 2,827,724.26
  5. Step 5: Solve for x
    x = 2,827,724.26/2,077.38
  6. Step 6: Final answer
    x = 1,361.20

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1.5x scale

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.