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Finding the Fourth Proportional to 7,122.78, 9,823.83 and 6,645.32

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Solution

The fourth proportional to 7,122.78, 9,823.83 and 6,645.32 is: 9,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.78 : 9,823.83 = 6,645.32 : x
  2. Step 2: Convert to fraction form
    7,122.78/9,823.83 = 6,645.32/x
  3. Step 3: Cross multiply
    7,122.78x = 9,823.83 × 6,645.32
  4. Step 4: Simplify right side
    7,122.78x = 65,282,411.63
  5. Step 5: Solve for x
    x = 65,282,411.63/7,122.78
  6. Step 6: Final answer
    x = 9,165.31

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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.