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Finding the Fourth Proportional to 7,203.80, 9,931.38 and 4,549.88

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Solution

The fourth proportional to 7,203.80, 9,931.38 and 4,549.88 is: 6,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.80 : 9,931.38 = 4,549.88 : x
  2. Step 2: Convert to fraction form
    7,203.80/9,931.38 = 4,549.88/x
  3. Step 3: Cross multiply
    7,203.80x = 9,931.38 × 4,549.88
  4. Step 4: Simplify right side
    7,203.80x = 45,186,587.23
  5. Step 5: Solve for x
    x = 45,186,587.23/7,203.80
  6. Step 6: Final answer
    x = 6,272.60

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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.