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Finding the Fourth Proportional to 2,912.55, 4,019.55 and 1,654.00

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Solution

The fourth proportional to 2,912.55, 4,019.55 and 1,654.00 is: 2,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.55 : 4,019.55 = 1,654.00 : x
  2. Step 2: Convert to fraction form
    2,912.55/4,019.55 = 1,654.00/x
  3. Step 3: Cross multiply
    2,912.55x = 4,019.55 × 1,654.00
  4. Step 4: Simplify right side
    2,912.55x = 6,648,356.18
  5. Step 5: Solve for x
    x = 6,648,356.18/2,912.55
  6. Step 6: Final answer
    x = 2,282.65

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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.