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Finding the Fourth Proportional to 8,903.70, 13,351.14 and 4,742.60

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Solution

The fourth proportional to 8,903.70, 13,351.14 and 4,742.60 is: 7,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.70 : 13,351.14 = 4,742.60 : x
  2. Step 2: Convert to fraction form
    8,903.70/13,351.14 = 4,742.60/x
  3. Step 3: Cross multiply
    8,903.70x = 13,351.14 × 4,742.60
  4. Step 4: Simplify right side
    8,903.70x = 63,319,116.56
  5. Step 5: Solve for x
    x = 63,319,116.56/8,903.70
  6. Step 6: Final answer
    x = 7,111.55

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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.