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Finding the Fourth Proportional to 18,386, 27,582.84 and 7,442

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Solution

The fourth proportional to 18,386, 27,582.84 and 7,442 is: 11,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,386 : 27,582.84 = 7,442 : x
  2. Step 2: Convert to fraction form
    18,386/27,582.84 = 7,442/x
  3. Step 3: Cross multiply
    18,386x = 27,582.84 × 7,442
  4. Step 4: Simplify right side
    18,386x = 205,271,495.28
  5. Step 5: Solve for x
    x = 205,271,495.28/18,386
  6. Step 6: Final answer
    x = 11,164.55

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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.