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Finding the Fourth Proportional to 1,971.32, 2,957.13 and 584.55

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Solution

The fourth proportional to 1,971.32, 2,957.13 and 584.55 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.32 : 2,957.13 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,971.32/2,957.13 = 584.55/x
  3. Step 3: Cross multiply
    1,971.32x = 2,957.13 × 584.55
  4. Step 4: Simplify right side
    1,971.32x = 1,728,590.34
  5. Step 5: Solve for x
    x = 1,728,590.34/1,971.32
  6. Step 6: Final answer
    x = 876.87

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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.