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Finding the Fourth Proportional to 2,886.76, 4,330.12 and 695.48

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Solution

The fourth proportional to 2,886.76, 4,330.12 and 695.48 is: 1,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.76 : 4,330.12 = 695.48 : x
  2. Step 2: Convert to fraction form
    2,886.76/4,330.12 = 695.48/x
  3. Step 3: Cross multiply
    2,886.76x = 4,330.12 × 695.48
  4. Step 4: Simplify right side
    2,886.76x = 3,011,511.86
  5. Step 5: Solve for x
    x = 3,011,511.86/2,886.76
  6. Step 6: Final answer
    x = 1,043.22

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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.