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Finding the Fourth Proportional to 12,788.58, 17,648.07 and 7,482.36

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Solution

The fourth proportional to 12,788.58, 17,648.07 and 7,482.36 is: 10,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.58 : 17,648.07 = 7,482.36 : x
  2. Step 2: Convert to fraction form
    12,788.58/17,648.07 = 7,482.36/x
  3. Step 3: Cross multiply
    12,788.58x = 17,648.07 × 7,482.36
  4. Step 4: Simplify right side
    12,788.58x = 132,049,213.05
  5. Step 5: Solve for x
    x = 132,049,213.05/12,788.58
  6. Step 6: Final answer
    x = 10,325.56

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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.