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Finding the Fourth Proportional to 19,862.34, 29,794.95 and 8,178.18

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Solution

The fourth proportional to 19,862.34, 29,794.95 and 8,178.18 is: 12,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.34 : 29,794.95 = 8,178.18 : x
  2. Step 2: Convert to fraction form
    19,862.34/29,794.95 = 8,178.18/x
  3. Step 3: Cross multiply
    19,862.34x = 29,794.95 × 8,178.18
  4. Step 4: Simplify right side
    19,862.34x = 243,668,464.19
  5. Step 5: Solve for x
    x = 243,668,464.19/19,862.34
  6. Step 6: Final answer
    x = 12,267.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.