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Finding the Fourth Proportional to 10,009, 15,010.80 and 3,768.58

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Solution

The fourth proportional to 10,009, 15,010.80 and 3,768.58 is: 5,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009 : 15,010.80 = 3,768.58 : x
  2. Step 2: Convert to fraction form
    10,009/15,010.80 = 3,768.58/x
  3. Step 3: Cross multiply
    10,009x = 15,010.80 × 3,768.58
  4. Step 4: Simplify right side
    10,009x = 56,569,400.66
  5. Step 5: Solve for x
    x = 56,569,400.66/10,009
  6. Step 6: Final answer
    x = 5,651.85

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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.