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Finding the Fourth Proportional to 2,876.72, 3,970.12 and 1,618

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Solution

The fourth proportional to 2,876.72, 3,970.12 and 1,618 is: 2,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.72 : 3,970.12 = 1,618 : x
  2. Step 2: Convert to fraction form
    2,876.72/3,970.12 = 1,618/x
  3. Step 3: Cross multiply
    2,876.72x = 3,970.12 × 1,618
  4. Step 4: Simplify right side
    2,876.72x = 6,423,654.16
  5. Step 5: Solve for x
    x = 6,423,654.16/2,876.72
  6. Step 6: Final answer
    x = 2,232.98

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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.