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Finding the Fourth Proportional to 9,618, 14,403.78 and 4,675.44

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Solution

The fourth proportional to 9,618, 14,403.78 and 4,675.44 is: 7,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618 : 14,403.78 = 4,675.44 : x
  2. Step 2: Convert to fraction form
    9,618/14,403.78 = 4,675.44/x
  3. Step 3: Cross multiply
    9,618x = 14,403.78 × 4,675.44
  4. Step 4: Simplify right side
    9,618x = 67,344,009.16
  5. Step 5: Solve for x
    x = 67,344,009.16/9,618
  6. Step 6: Final answer
    x = 7,001.87

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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.