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Finding the Fourth Proportional to 13,482.80, 18,605.88 and 7,514

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Solution

The fourth proportional to 13,482.80, 18,605.88 and 7,514 is: 10,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.80 : 18,605.88 = 7,514 : x
  2. Step 2: Convert to fraction form
    13,482.80/18,605.88 = 7,514/x
  3. Step 3: Cross multiply
    13,482.80x = 18,605.88 × 7,514
  4. Step 4: Simplify right side
    13,482.80x = 139,804,582.32
  5. Step 5: Solve for x
    x = 139,804,582.32/13,482.80
  6. Step 6: Final answer
    x = 10,369.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.