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Finding the Fourth Proportional to 13,915.58, 20,864.12 and 7,678.58

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Solution

The fourth proportional to 13,915.58, 20,864.12 and 7,678.58 is: 11,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.58 : 20,864.12 = 7,678.58 : x
  2. Step 2: Convert to fraction form
    13,915.58/20,864.12 = 7,678.58/x
  3. Step 3: Cross multiply
    13,915.58x = 20,864.12 × 7,678.58
  4. Step 4: Simplify right side
    13,915.58x = 160,206,671.84
  5. Step 5: Solve for x
    x = 160,206,671.84/13,915.58
  6. Step 6: Final answer
    x = 11,512.76

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1.5x scale

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.