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Finding the Fourth Proportional to 2,577.79, 3,552.44 and 1,868.40

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Solution

The fourth proportional to 2,577.79, 3,552.44 and 1,868.40 is: 2,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.79 : 3,552.44 = 1,868.40 : x
  2. Step 2: Convert to fraction form
    2,577.79/3,552.44 = 1,868.40/x
  3. Step 3: Cross multiply
    2,577.79x = 3,552.44 × 1,868.40
  4. Step 4: Simplify right side
    2,577.79x = 6,637,361.13
  5. Step 5: Solve for x
    x = 6,637,361.13/2,577.79
  6. Step 6: Final answer
    x = 2,574.83

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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.