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Finding the Fourth Proportional to 12,538.56, 17,303.16 and 6,949.56

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Solution

The fourth proportional to 12,538.56, 17,303.16 and 6,949.56 is: 9,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.56 : 17,303.16 = 6,949.56 : x
  2. Step 2: Convert to fraction form
    12,538.56/17,303.16 = 6,949.56/x
  3. Step 3: Cross multiply
    12,538.56x = 17,303.16 × 6,949.56
  4. Step 4: Simplify right side
    12,538.56x = 120,249,348.61
  5. Step 5: Solve for x
    x = 120,249,348.61/12,538.56
  6. Step 6: Final answer
    x = 9,590.36

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1.5x scale

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.