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Finding the Fourth Proportional to 12,952.80, 17,876.16 and 7,919.28

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Solution

The fourth proportional to 12,952.80, 17,876.16 and 7,919.28 is: 10,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.80 : 17,876.16 = 7,919.28 : x
  2. Step 2: Convert to fraction form
    12,952.80/17,876.16 = 7,919.28/x
  3. Step 3: Cross multiply
    12,952.80x = 17,876.16 × 7,919.28
  4. Step 4: Simplify right side
    12,952.80x = 141,566,316.36
  5. Step 5: Solve for x
    x = 141,566,316.36/12,952.80
  6. Step 6: Final answer
    x = 10,929.40

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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.