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Finding the Fourth Proportional to 2,170.95, 3,256.40 and 527.50

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Solution

The fourth proportional to 2,170.95, 3,256.40 and 527.50 is: 791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.95 : 3,256.40 = 527.50 : x
  2. Step 2: Convert to fraction form
    2,170.95/3,256.40 = 527.50/x
  3. Step 3: Cross multiply
    2,170.95x = 3,256.40 × 527.50
  4. Step 4: Simplify right side
    2,170.95x = 1,717,734.72
  5. Step 5: Solve for x
    x = 1,717,734.72/2,170.95
  6. Step 6: Final answer
    x = 791.24

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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.