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Finding the Fourth Proportional to 4,599, 6,886.80 and 3,034.32

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Solution

The fourth proportional to 4,599, 6,886.80 and 3,034.32 is: 4,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599 : 6,886.80 = 3,034.32 : x
  2. Step 2: Convert to fraction form
    4,599/6,886.80 = 3,034.32/x
  3. Step 3: Cross multiply
    4,599x = 6,886.80 × 3,034.32
  4. Step 4: Simplify right side
    4,599x = 20,896,754.98
  5. Step 5: Solve for x
    x = 20,896,754.98/4,599
  6. Step 6: Final answer
    x = 4,543.76

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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.