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Finding the Fourth Proportional to 12,078.66, 16,653.12 and 7,822.20

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Solution

The fourth proportional to 12,078.66, 16,653.12 and 7,822.20 is: 10,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.66 : 16,653.12 = 7,822.20 : x
  2. Step 2: Convert to fraction form
    12,078.66/16,653.12 = 7,822.20/x
  3. Step 3: Cross multiply
    12,078.66x = 16,653.12 × 7,822.20
  4. Step 4: Simplify right side
    12,078.66x = 130,264,035.26
  5. Step 5: Solve for x
    x = 130,264,035.26/12,078.66
  6. Step 6: Final answer
    x = 10,784.64

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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.