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Finding the Fourth Proportional to 38,980, 58,470 and 11,280.16

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Solution

The fourth proportional to 38,980, 58,470 and 11,280.16 is: 16,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,980 : 58,470 = 11,280.16 : x
  2. Step 2: Convert to fraction form
    38,980/58,470 = 11,280.16/x
  3. Step 3: Cross multiply
    38,980x = 58,470 × 11,280.16
  4. Step 4: Simplify right side
    38,980x = 659,550,955.20
  5. Step 5: Solve for x
    x = 659,550,955.20/38,980
  6. Step 6: Final answer
    x = 16,920.24

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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.