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Finding the Fourth Proportional to 28,830, 43,247.84 and 8,053.50

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Solution

The fourth proportional to 28,830, 43,247.84 and 8,053.50 is: 12,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,830 : 43,247.84 = 8,053.50 : x
  2. Step 2: Convert to fraction form
    28,830/43,247.84 = 8,053.50/x
  3. Step 3: Cross multiply
    28,830x = 43,247.84 × 8,053.50
  4. Step 4: Simplify right side
    28,830x = 348,296,439.17
  5. Step 5: Solve for x
    x = 348,296,439.17/28,830
  6. Step 6: Final answer
    x = 12,081.04

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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.