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Finding the Fourth Proportional to 7,847.44, 10,823.16 and 6,901.20

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Solution

The fourth proportional to 7,847.44, 10,823.16 and 6,901.20 is: 9,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.44 : 10,823.16 = 6,901.20 : x
  2. Step 2: Convert to fraction form
    7,847.44/10,823.16 = 6,901.20/x
  3. Step 3: Cross multiply
    7,847.44x = 10,823.16 × 6,901.20
  4. Step 4: Simplify right side
    7,847.44x = 74,692,791.79
  5. Step 5: Solve for x
    x = 74,692,791.79/7,847.44
  6. Step 6: Final answer
    x = 9,518.11

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Double scale
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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.