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Finding the Fourth Proportional to 9,042.70, 13,570.80 and 4,657.90

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Solution

The fourth proportional to 9,042.70, 13,570.80 and 4,657.90 is: 6,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.70 : 13,570.80 = 4,657.90 : x
  2. Step 2: Convert to fraction form
    9,042.70/13,570.80 = 4,657.90/x
  3. Step 3: Cross multiply
    9,042.70x = 13,570.80 × 4,657.90
  4. Step 4: Simplify right side
    9,042.70x = 63,211,429.32
  5. Step 5: Solve for x
    x = 63,211,429.32/9,042.70
  6. Step 6: Final answer
    x = 6,990.33

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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.