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Finding the Fourth Proportional to 12,707.22, 17,530.08 and 8,232.42

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Solution

The fourth proportional to 12,707.22, 17,530.08 and 8,232.42 is: 11,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.22 : 17,530.08 = 8,232.42 : x
  2. Step 2: Convert to fraction form
    12,707.22/17,530.08 = 8,232.42/x
  3. Step 3: Cross multiply
    12,707.22x = 17,530.08 × 8,232.42
  4. Step 4: Simplify right side
    12,707.22x = 144,314,981.19
  5. Step 5: Solve for x
    x = 144,314,981.19/12,707.22
  6. Step 6: Final answer
    x = 11,356.93

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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.