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Finding the Fourth Proportional to 18,509.68, 27,765.08 and 5,365

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Solution

The fourth proportional to 18,509.68, 27,765.08 and 5,365 is: 8,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.68 : 27,765.08 = 5,365 : x
  2. Step 2: Convert to fraction form
    18,509.68/27,765.08 = 5,365/x
  3. Step 3: Cross multiply
    18,509.68x = 27,765.08 × 5,365
  4. Step 4: Simplify right side
    18,509.68x = 148,959,654.20
  5. Step 5: Solve for x
    x = 148,959,654.20/18,509.68
  6. Step 6: Final answer
    x = 8,047.66

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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.