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Finding the Fourth Proportional to 7,955.61, 10,978.92 and 4,370.61

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Solution

The fourth proportional to 7,955.61, 10,978.92 and 4,370.61 is: 6,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.61 : 10,978.92 = 4,370.61 : x
  2. Step 2: Convert to fraction form
    7,955.61/10,978.92 = 4,370.61/x
  3. Step 3: Cross multiply
    7,955.61x = 10,978.92 × 4,370.61
  4. Step 4: Simplify right side
    7,955.61x = 47,984,614.14
  5. Step 5: Solve for x
    x = 47,984,614.14/7,955.61
  6. Step 6: Final answer
    x = 6,031.54

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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.