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Finding the Fourth Proportional to 2,681.80, 3,692.86 and 2,088.88

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Solution

The fourth proportional to 2,681.80, 3,692.86 and 2,088.88 is: 2,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.80 : 3,692.86 = 2,088.88 : x
  2. Step 2: Convert to fraction form
    2,681.80/3,692.86 = 2,088.88/x
  3. Step 3: Cross multiply
    2,681.80x = 3,692.86 × 2,088.88
  4. Step 4: Simplify right side
    2,681.80x = 7,713,941.40
  5. Step 5: Solve for x
    x = 7,713,941.40/2,681.80
  6. Step 6: Final answer
    x = 2,876.40

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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.