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Finding the Fourth Proportional to 13,278, 19,915.62 and 8,332.98

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Solution

The fourth proportional to 13,278, 19,915.62 and 8,332.98 is: 12,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278 : 19,915.62 = 8,332.98 : x
  2. Step 2: Convert to fraction form
    13,278/19,915.62 = 8,332.98/x
  3. Step 3: Cross multiply
    13,278x = 19,915.62 × 8,332.98
  4. Step 4: Simplify right side
    13,278x = 165,956,463.15
  5. Step 5: Solve for x
    x = 165,956,463.15/13,278
  6. Step 6: Final answer
    x = 12,498.60

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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.