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Finding the Fourth Proportional to 2,912.19, 4,368.93 and 832.20

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Solution

The fourth proportional to 2,912.19, 4,368.93 and 832.20 is: 1,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.19 : 4,368.93 = 832.20 : x
  2. Step 2: Convert to fraction form
    2,912.19/4,368.93 = 832.20/x
  3. Step 3: Cross multiply
    2,912.19x = 4,368.93 × 832.20
  4. Step 4: Simplify right side
    2,912.19x = 3,635,823.55
  5. Step 5: Solve for x
    x = 3,635,823.55/2,912.19
  6. Step 6: Final answer
    x = 1,248.48

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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.