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Finding the Fourth Proportional to 2,875.56, 4,309.68 and 1,488.64

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Solution

The fourth proportional to 2,875.56, 4,309.68 and 1,488.64 is: 2,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.56 : 4,309.68 = 1,488.64 : x
  2. Step 2: Convert to fraction form
    2,875.56/4,309.68 = 1,488.64/x
  3. Step 3: Cross multiply
    2,875.56x = 4,309.68 × 1,488.64
  4. Step 4: Simplify right side
    2,875.56x = 6,415,540.49
  5. Step 5: Solve for x
    x = 6,415,540.49/2,875.56
  6. Step 6: Final answer
    x = 2,231.06

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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.