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Finding the Fourth Proportional to 6,271, 9,403.65 and 2,988.06

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Solution

The fourth proportional to 6,271, 9,403.65 and 2,988.06 is: 4,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271 : 9,403.65 = 2,988.06 : x
  2. Step 2: Convert to fraction form
    6,271/9,403.65 = 2,988.06/x
  3. Step 3: Cross multiply
    6,271x = 9,403.65 × 2,988.06
  4. Step 4: Simplify right side
    6,271x = 28,098,670.42
  5. Step 5: Solve for x
    x = 28,098,670.42/6,271
  6. Step 6: Final answer
    x = 4,480.73

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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.