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Finding the Fourth Proportional to 22,658.40, 31,267.94 and 12,968.10

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Solution

The fourth proportional to 22,658.40, 31,267.94 and 12,968.10 is: 17,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.40 : 31,267.94 = 12,968.10 : x
  2. Step 2: Convert to fraction form
    22,658.40/31,267.94 = 12,968.10/x
  3. Step 3: Cross multiply
    22,658.40x = 31,267.94 × 12,968.10
  4. Step 4: Simplify right side
    22,658.40x = 405,485,772.71
  5. Step 5: Solve for x
    x = 405,485,772.71/22,658.40
  6. Step 6: Final answer
    x = 17,895.60

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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.