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Finding the Fourth Proportional to 2,031.60, 3,045.68 and 876.48

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Solution

The fourth proportional to 2,031.60, 3,045.68 and 876.48 is: 1,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.60 : 3,045.68 = 876.48 : x
  2. Step 2: Convert to fraction form
    2,031.60/3,045.68 = 876.48/x
  3. Step 3: Cross multiply
    2,031.60x = 3,045.68 × 876.48
  4. Step 4: Simplify right side
    2,031.60x = 2,669,477.61
  5. Step 5: Solve for x
    x = 2,669,477.61/2,031.60
  6. Step 6: Final answer
    x = 1,313.98

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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.