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Finding the Fourth Proportional to 5,678.19, 7,841.88 and 5,059.76

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Solution

The fourth proportional to 5,678.19, 7,841.88 and 5,059.76 is: 6,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.19 : 7,841.88 = 5,059.76 : x
  2. Step 2: Convert to fraction form
    5,678.19/7,841.88 = 5,059.76/x
  3. Step 3: Cross multiply
    5,678.19x = 7,841.88 × 5,059.76
  4. Step 4: Simplify right side
    5,678.19x = 39,677,991.54
  5. Step 5: Solve for x
    x = 39,677,991.54/5,678.19
  6. Step 6: Final answer
    x = 6,987.79

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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.