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Finding the Fourth Proportional to 28,670, 43,006.62 and 10,202

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Solution

The fourth proportional to 28,670, 43,006.62 and 10,202 is: 15,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,670 : 43,006.62 = 10,202 : x
  2. Step 2: Convert to fraction form
    28,670/43,006.62 = 10,202/x
  3. Step 3: Cross multiply
    28,670x = 43,006.62 × 10,202
  4. Step 4: Simplify right side
    28,670x = 438,753,537.24
  5. Step 5: Solve for x
    x = 438,753,537.24/28,670
  6. Step 6: Final answer
    x = 15,303.58

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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.