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Finding the Fourth Proportional to 14,115.15, 21,158.90 and 7,878.15

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Solution

The fourth proportional to 14,115.15, 21,158.90 and 7,878.15 is: 11,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.15 : 21,158.90 = 7,878.15 : x
  2. Step 2: Convert to fraction form
    14,115.15/21,158.90 = 7,878.15/x
  3. Step 3: Cross multiply
    14,115.15x = 21,158.90 × 7,878.15
  4. Step 4: Simplify right side
    14,115.15x = 166,692,988.04
  5. Step 5: Solve for x
    x = 166,692,988.04/14,115.15
  6. Step 6: Final answer
    x = 11,809.51

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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.