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Finding the Fourth Proportional to 18,488, 27,715.08 and 6,792.32

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Solution

The fourth proportional to 18,488, 27,715.08 and 6,792.32 is: 10,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,488 : 27,715.08 = 6,792.32 : x
  2. Step 2: Convert to fraction form
    18,488/27,715.08 = 6,792.32/x
  3. Step 3: Cross multiply
    18,488x = 27,715.08 × 6,792.32
  4. Step 4: Simplify right side
    18,488x = 188,249,692.19
  5. Step 5: Solve for x
    x = 188,249,692.19/18,488
  6. Step 6: Final answer
    x = 10,182.26

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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.