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Finding the Fourth Proportional to 38,009.80, 57,014.40 and 9,929.80

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Solution

The fourth proportional to 38,009.80, 57,014.40 and 9,929.80 is: 14,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.80 : 57,014.40 = 9,929.80 : x
  2. Step 2: Convert to fraction form
    38,009.80/57,014.40 = 9,929.80/x
  3. Step 3: Cross multiply
    38,009.80x = 57,014.40 × 9,929.80
  4. Step 4: Simplify right side
    38,009.80x = 566,141,589.12
  5. Step 5: Solve for x
    x = 566,141,589.12/38,009.80
  6. Step 6: Final answer
    x = 14,894.62

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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.