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Finding the Fourth Proportional to 28,730, 43,097.52 and 7,953.68

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Solution

The fourth proportional to 28,730, 43,097.52 and 7,953.68 is: 11,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,730 : 43,097.52 = 7,953.68 : x
  2. Step 2: Convert to fraction form
    28,730/43,097.52 = 7,953.68/x
  3. Step 3: Cross multiply
    28,730x = 43,097.52 × 7,953.68
  4. Step 4: Simplify right side
    28,730x = 342,783,882.87
  5. Step 5: Solve for x
    x = 342,783,882.87/28,730
  6. Step 6: Final answer
    x = 11,931.22

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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.