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Finding the Fourth Proportional to 7,856.82, 10,842.31 and 4,320

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Solution

The fourth proportional to 7,856.82, 10,842.31 and 4,320 is: 5,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.82 : 10,842.31 = 4,320 : x
  2. Step 2: Convert to fraction form
    7,856.82/10,842.31 = 4,320/x
  3. Step 3: Cross multiply
    7,856.82x = 10,842.31 × 4,320
  4. Step 4: Simplify right side
    7,856.82x = 46,838,779.20
  5. Step 5: Solve for x
    x = 46,838,779.20/7,856.82
  6. Step 6: Final answer
    x = 5,961.54

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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.