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Finding the Fourth Proportional to 1,854.81, 2,560.19 and 1,069.41

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Solution

The fourth proportional to 1,854.81, 2,560.19 and 1,069.41 is: 1,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.81 : 2,560.19 = 1,069.41 : x
  2. Step 2: Convert to fraction form
    1,854.81/2,560.19 = 1,069.41/x
  3. Step 3: Cross multiply
    1,854.81x = 2,560.19 × 1,069.41
  4. Step 4: Simplify right side
    1,854.81x = 2,737,892.79
  5. Step 5: Solve for x
    x = 2,737,892.79/1,854.81
  6. Step 6: Final answer
    x = 1,476.10

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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.