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Finding the Fourth Proportional to 9,948.66, 14,915.46 and 8,578.14

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Solution

The fourth proportional to 9,948.66, 14,915.46 and 8,578.14 is: 12,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.66 : 14,915.46 = 8,578.14 : x
  2. Step 2: Convert to fraction form
    9,948.66/14,915.46 = 8,578.14/x
  3. Step 3: Cross multiply
    9,948.66x = 14,915.46 × 8,578.14
  4. Step 4: Simplify right side
    9,948.66x = 127,946,904.04
  5. Step 5: Solve for x
    x = 127,946,904.04/9,948.66
  6. Step 6: Final answer
    x = 12,860.72

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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.