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Finding the Fourth Proportional to 12,808.58, 17,678.04 and 7,777.04

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Solution

The fourth proportional to 12,808.58, 17,678.04 and 7,777.04 is: 10,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.58 : 17,678.04 = 7,777.04 : x
  2. Step 2: Convert to fraction form
    12,808.58/17,678.04 = 7,777.04/x
  3. Step 3: Cross multiply
    12,808.58x = 17,678.04 × 7,777.04
  4. Step 4: Simplify right side
    12,808.58x = 137,482,824.20
  5. Step 5: Solve for x
    x = 137,482,824.20/12,808.58
  6. Step 6: Final answer
    x = 10,733.65

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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.