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Finding the Fourth Proportional to 1,401.02, 1,934.14 and 1,116.90

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Solution

The fourth proportional to 1,401.02, 1,934.14 and 1,116.90 is: 1,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.02 : 1,934.14 = 1,116.90 : x
  2. Step 2: Convert to fraction form
    1,401.02/1,934.14 = 1,116.90/x
  3. Step 3: Cross multiply
    1,401.02x = 1,934.14 × 1,116.90
  4. Step 4: Simplify right side
    1,401.02x = 2,160,240.97
  5. Step 5: Solve for x
    x = 2,160,240.97/1,401.02
  6. Step 6: Final answer
    x = 1,541.91

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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.