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Finding the Fourth Proportional to 12,348, 18,526.16 and 3,915.87

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Solution

The fourth proportional to 12,348, 18,526.16 and 3,915.87 is: 5,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348 : 18,526.16 = 3,915.87 : x
  2. Step 2: Convert to fraction form
    12,348/18,526.16 = 3,915.87/x
  3. Step 3: Cross multiply
    12,348x = 18,526.16 × 3,915.87
  4. Step 4: Simplify right side
    12,348x = 72,546,014.58
  5. Step 5: Solve for x
    x = 72,546,014.58/12,348
  6. Step 6: Final answer
    x = 5,875.12

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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.