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Finding the Fourth Proportional to 22,855.94, 31,542.44 and 12,784.40

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Solution

The fourth proportional to 22,855.94, 31,542.44 and 12,784.40 is: 17,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.94 : 31,542.44 = 12,784.40 : x
  2. Step 2: Convert to fraction form
    22,855.94/31,542.44 = 12,784.40/x
  3. Step 3: Cross multiply
    22,855.94x = 31,542.44 × 12,784.40
  4. Step 4: Simplify right side
    22,855.94x = 403,250,948.30
  5. Step 5: Solve for x
    x = 403,250,948.30/22,855.94
  6. Step 6: Final answer
    x = 17,643.16

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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.