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Finding the Fourth Proportional to 9,148, 12,624.38 and 4,956.25

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Solution

The fourth proportional to 9,148, 12,624.38 and 4,956.25 is: 6,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148 : 12,624.38 = 4,956.25 : x
  2. Step 2: Convert to fraction form
    9,148/12,624.38 = 4,956.25/x
  3. Step 3: Cross multiply
    9,148x = 12,624.38 × 4,956.25
  4. Step 4: Simplify right side
    9,148x = 62,569,583.38
  5. Step 5: Solve for x
    x = 62,569,583.38/9,148
  6. Step 6: Final answer
    x = 6,839.70

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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.