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Finding the Fourth Proportional to 14,200.18, 19,595.81 and 8,897.92

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Solution

The fourth proportional to 14,200.18, 19,595.81 and 8,897.92 is: 12,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.18 : 19,595.81 = 8,897.92 : x
  2. Step 2: Convert to fraction form
    14,200.18/19,595.81 = 8,897.92/x
  3. Step 3: Cross multiply
    14,200.18x = 19,595.81 × 8,897.92
  4. Step 4: Simplify right side
    14,200.18x = 174,361,807.25
  5. Step 5: Solve for x
    x = 174,361,807.25/14,200.18
  6. Step 6: Final answer
    x = 12,278.85

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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.