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Finding the Fourth Proportional to 10,980.81, 15,152.81 and 6,788.25

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Solution

The fourth proportional to 10,980.81, 15,152.81 and 6,788.25 is: 9,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.81 : 15,152.81 = 6,788.25 : x
  2. Step 2: Convert to fraction form
    10,980.81/15,152.81 = 6,788.25/x
  3. Step 3: Cross multiply
    10,980.81x = 15,152.81 × 6,788.25
  4. Step 4: Simplify right side
    10,980.81x = 102,861,028.54
  5. Step 5: Solve for x
    x = 102,861,028.54/10,980.81
  6. Step 6: Final answer
    x = 9,367.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.