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Finding the Fourth Proportional to 2,158.80, 2,977.80 and 1,412.40

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Solution

The fourth proportional to 2,158.80, 2,977.80 and 1,412.40 is: 1,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.80 : 2,977.80 = 1,412.40 : x
  2. Step 2: Convert to fraction form
    2,158.80/2,977.80 = 1,412.40/x
  3. Step 3: Cross multiply
    2,158.80x = 2,977.80 × 1,412.40
  4. Step 4: Simplify right side
    2,158.80x = 4,205,844.72
  5. Step 5: Solve for x
    x = 4,205,844.72/2,158.80
  6. Step 6: Final answer
    x = 1,948.23

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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.