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Finding the Fourth Proportional to 1,937.80, 2,674.18 and 1,053.62

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Solution

The fourth proportional to 1,937.80, 2,674.18 and 1,053.62 is: 1,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.80 : 2,674.18 = 1,053.62 : x
  2. Step 2: Convert to fraction form
    1,937.80/2,674.18 = 1,053.62/x
  3. Step 3: Cross multiply
    1,937.80x = 2,674.18 × 1,053.62
  4. Step 4: Simplify right side
    1,937.80x = 2,817,569.53
  5. Step 5: Solve for x
    x = 2,817,569.53/1,937.80
  6. Step 6: Final answer
    x = 1,454.00

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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.