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Finding the Fourth Proportional to 10,578.20, 15,980.73 and 10,578.20

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Solution

The fourth proportional to 10,578.20, 15,980.73 and 10,578.20 is: 15,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.20 : 15,980.73 = 10,578.20 : x
  2. Step 2: Convert to fraction form
    10,578.20/15,980.73 = 10,578.20/x
  3. Step 3: Cross multiply
    10,578.20x = 15,980.73 × 10,578.20
  4. Step 4: Simplify right side
    10,578.20x = 169,047,358.09
  5. Step 5: Solve for x
    x = 169,047,358.09/10,578.20
  6. Step 6: Final answer
    x = 15,980.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.