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Finding the Fourth Proportional to 12,616.65, 18,897.62 and 9,146.25

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Solution

The fourth proportional to 12,616.65, 18,897.62 and 9,146.25 is: 13,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.65 : 18,897.62 = 9,146.25 : x
  2. Step 2: Convert to fraction form
    12,616.65/18,897.62 = 9,146.25/x
  3. Step 3: Cross multiply
    12,616.65x = 18,897.62 × 9,146.25
  4. Step 4: Simplify right side
    12,616.65x = 172,842,311.19
  5. Step 5: Solve for x
    x = 172,842,311.19/12,616.65
  6. Step 6: Final answer
    x = 13,699.54

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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.