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Finding the Fourth Proportional to 10,200, 15,300.72 and 4,044

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Solution

The fourth proportional to 10,200, 15,300.72 and 4,044 is: 6,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 15,300.72 = 4,044 : x
  2. Step 2: Convert to fraction form
    10,200/15,300.72 = 4,044/x
  3. Step 3: Cross multiply
    10,200x = 15,300.72 × 4,044
  4. Step 4: Simplify right side
    10,200x = 61,876,111.68
  5. Step 5: Solve for x
    x = 61,876,111.68/10,200
  6. Step 6: Final answer
    x = 6,066.29

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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.