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Finding the Fourth Proportional to 2,573.79, 3,864.06 and 1,646.88

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Solution

The fourth proportional to 2,573.79, 3,864.06 and 1,646.88 is: 2,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.79 : 3,864.06 = 1,646.88 : x
  2. Step 2: Convert to fraction form
    2,573.79/3,864.06 = 1,646.88/x
  3. Step 3: Cross multiply
    2,573.79x = 3,864.06 × 1,646.88
  4. Step 4: Simplify right side
    2,573.79x = 6,363,643.13
  5. Step 5: Solve for x
    x = 6,363,643.13/2,573.79
  6. Step 6: Final answer
    x = 2,472.48

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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.