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Finding the Fourth Proportional to 9,148.56, 13,720 and 4,763.64

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Solution

The fourth proportional to 9,148.56, 13,720 and 4,763.64 is: 7,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.56 : 13,720 = 4,763.64 : x
  2. Step 2: Convert to fraction form
    9,148.56/13,720 = 4,763.64/x
  3. Step 3: Cross multiply
    9,148.56x = 13,720 × 4,763.64
  4. Step 4: Simplify right side
    9,148.56x = 65,357,140.80
  5. Step 5: Solve for x
    x = 65,357,140.80/9,148.56
  6. Step 6: Final answer
    x = 7,143.98

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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.