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Finding the Fourth Proportional to 7,955.48, 10,978.77 and 4,419.02

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Solution

The fourth proportional to 7,955.48, 10,978.77 and 4,419.02 is: 6,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.48 : 10,978.77 = 4,419.02 : x
  2. Step 2: Convert to fraction form
    7,955.48/10,978.77 = 4,419.02/x
  3. Step 3: Cross multiply
    7,955.48x = 10,978.77 × 4,419.02
  4. Step 4: Simplify right side
    7,955.48x = 48,515,404.21
  5. Step 5: Solve for x
    x = 48,515,404.21/7,955.48
  6. Step 6: Final answer
    x = 6,098.36

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1.5x scale

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.