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Finding the Fourth Proportional to 11,751.80, 16,208.32 and 7,278.04

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Solution

The fourth proportional to 11,751.80, 16,208.32 and 7,278.04 is: 10,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.80 : 16,208.32 = 7,278.04 : x
  2. Step 2: Convert to fraction form
    11,751.80/16,208.32 = 7,278.04/x
  3. Step 3: Cross multiply
    11,751.80x = 16,208.32 × 7,278.04
  4. Step 4: Simplify right side
    11,751.80x = 117,964,801.29
  5. Step 5: Solve for x
    x = 117,964,801.29/11,751.80
  6. Step 6: Final answer
    x = 10,038.02

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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.