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Finding the Fourth Proportional to 12,561.68, 17,334.84 and 6,972.32

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Solution

The fourth proportional to 12,561.68, 17,334.84 and 6,972.32 is: 9,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.68 : 17,334.84 = 6,972.32 : x
  2. Step 2: Convert to fraction form
    12,561.68/17,334.84 = 6,972.32/x
  3. Step 3: Cross multiply
    12,561.68x = 17,334.84 × 6,972.32
  4. Step 4: Simplify right side
    12,561.68x = 120,864,051.63
  5. Step 5: Solve for x
    x = 120,864,051.63/12,561.68
  6. Step 6: Final answer
    x = 9,621.65

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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.