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Finding the Fourth Proportional to 28,507.84, 42,758.52 and 7,729.76

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Solution

The fourth proportional to 28,507.84, 42,758.52 and 7,729.76 is: 11,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,507.84 : 42,758.52 = 7,729.76 : x
  2. Step 2: Convert to fraction form
    28,507.84/42,758.52 = 7,729.76/x
  3. Step 3: Cross multiply
    28,507.84x = 42,758.52 × 7,729.76
  4. Step 4: Simplify right side
    28,507.84x = 330,513,097.56
  5. Step 5: Solve for x
    x = 330,513,097.56/28,507.84
  6. Step 6: Final answer
    x = 11,593.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.