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Finding the Fourth Proportional to 18,655.95, 27,983.76 and 7,560

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Solution

The fourth proportional to 18,655.95, 27,983.76 and 7,560 is: 11,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.95 : 27,983.76 = 7,560 : x
  2. Step 2: Convert to fraction form
    18,655.95/27,983.76 = 7,560/x
  3. Step 3: Cross multiply
    18,655.95x = 27,983.76 × 7,560
  4. Step 4: Simplify right side
    18,655.95x = 211,557,187.80
  5. Step 5: Solve for x
    x = 211,557,187.80/18,655.95
  6. Step 6: Final answer
    x = 11,339.93

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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.