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Finding the Fourth Proportional to 38,470, 57,705.06 and 10,768

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Solution

The fourth proportional to 38,470, 57,705.06 and 10,768 is: 16,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470 : 57,705.06 = 10,768 : x
  2. Step 2: Convert to fraction form
    38,470/57,705.06 = 10,768/x
  3. Step 3: Cross multiply
    38,470x = 57,705.06 × 10,768
  4. Step 4: Simplify right side
    38,470x = 621,368,086.08
  5. Step 5: Solve for x
    x = 621,368,086.08/38,470
  6. Step 6: Final answer
    x = 16,152.02

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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.