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Finding the Fourth Proportional to 11,180, 15,421.98 and 6,980.96

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Solution

The fourth proportional to 11,180, 15,421.98 and 6,980.96 is: 9,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180 : 15,421.98 = 6,980.96 : x
  2. Step 2: Convert to fraction form
    11,180/15,421.98 = 6,980.96/x
  3. Step 3: Cross multiply
    11,180x = 15,421.98 × 6,980.96
  4. Step 4: Simplify right side
    11,180x = 107,660,225.50
  5. Step 5: Solve for x
    x = 107,660,225.50/11,180
  6. Step 6: Final answer
    x = 9,629.72

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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.