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Finding the Fourth Proportional to 12,775.84, 17,632.04 and 8,061.64

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Solution

The fourth proportional to 12,775.84, 17,632.04 and 8,061.64 is: 11,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.84 : 17,632.04 = 8,061.64 : x
  2. Step 2: Convert to fraction form
    12,775.84/17,632.04 = 8,061.64/x
  3. Step 3: Cross multiply
    12,775.84x = 17,632.04 × 8,061.64
  4. Step 4: Simplify right side
    12,775.84x = 142,143,158.95
  5. Step 5: Solve for x
    x = 142,143,158.95/12,775.84
  6. Step 6: Final answer
    x = 11,125.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.