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Finding the Fourth Proportional to 14,398.95, 19,864.10 and 8,427.98

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Solution

The fourth proportional to 14,398.95, 19,864.10 and 8,427.98 is: 11,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.95 : 19,864.10 = 8,427.98 : x
  2. Step 2: Convert to fraction form
    14,398.95/19,864.10 = 8,427.98/x
  3. Step 3: Cross multiply
    14,398.95x = 19,864.10 × 8,427.98
  4. Step 4: Simplify right side
    14,398.95x = 167,414,308.25
  5. Step 5: Solve for x
    x = 167,414,308.25/14,398.95
  6. Step 6: Final answer
    x = 11,626.84

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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.