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Finding the Fourth Proportional to 12,788.80, 17,648.48 and 7,199.84

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Solution

The fourth proportional to 12,788.80, 17,648.48 and 7,199.84 is: 9,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.80 : 17,648.48 = 7,199.84 : x
  2. Step 2: Convert to fraction form
    12,788.80/17,648.48 = 7,199.84/x
  3. Step 3: Cross multiply
    12,788.80x = 17,648.48 × 7,199.84
  4. Step 4: Simplify right side
    12,788.80x = 127,066,232.24
  5. Step 5: Solve for x
    x = 127,066,232.24/12,788.80
  6. Step 6: Final answer
    x = 9,935.74

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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.