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Finding the Fourth Proportional to 2,577.95, 3,868.59 and 934.35

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Solution

The fourth proportional to 2,577.95, 3,868.59 and 934.35 is: 1,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.95 : 3,868.59 = 934.35 : x
  2. Step 2: Convert to fraction form
    2,577.95/3,868.59 = 934.35/x
  3. Step 3: Cross multiply
    2,577.95x = 3,868.59 × 934.35
  4. Step 4: Simplify right side
    2,577.95x = 3,614,617.07
  5. Step 5: Solve for x
    x = 3,614,617.07/2,577.95
  6. Step 6: Final answer
    x = 1,402.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.