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Finding the Fourth Proportional to 12,788.16, 17,643.60 and 7,198.08

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Solution

The fourth proportional to 12,788.16, 17,643.60 and 7,198.08 is: 9,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.16 : 17,643.60 = 7,198.08 : x
  2. Step 2: Convert to fraction form
    12,788.16/17,643.60 = 7,198.08/x
  3. Step 3: Cross multiply
    12,788.16x = 17,643.60 × 7,198.08
  4. Step 4: Simplify right side
    12,788.16x = 127,000,044.29
  5. Step 5: Solve for x
    x = 127,000,044.29/12,788.16
  6. Step 6: Final answer
    x = 9,931.06

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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.