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Finding the Fourth Proportional to 9,247, 12,760.86 and 5,055.28

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Solution

The fourth proportional to 9,247, 12,760.86 and 5,055.28 is: 6,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247 : 12,760.86 = 5,055.28 : x
  2. Step 2: Convert to fraction form
    9,247/12,760.86 = 5,055.28/x
  3. Step 3: Cross multiply
    9,247x = 12,760.86 × 5,055.28
  4. Step 4: Simplify right side
    9,247x = 64,509,720.34
  5. Step 5: Solve for x
    x = 64,509,720.34/9,247
  6. Step 6: Final answer
    x = 6,976.29

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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.