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Finding the Fourth Proportional to 18,656.95, 27,985.25 and 7,561

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Solution

The fourth proportional to 18,656.95, 27,985.25 and 7,561 is: 11,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.95 : 27,985.25 = 7,561 : x
  2. Step 2: Convert to fraction form
    18,656.95/27,985.25 = 7,561/x
  3. Step 3: Cross multiply
    18,656.95x = 27,985.25 × 7,561
  4. Step 4: Simplify right side
    18,656.95x = 211,596,475.25
  5. Step 5: Solve for x
    x = 211,596,475.25/18,656.95
  6. Step 6: Final answer
    x = 11,341.43

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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.