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Finding the Fourth Proportional to 15,118.50, 20,866.84 and 8,406.42

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Solution

The fourth proportional to 15,118.50, 20,866.84 and 8,406.42 is: 11,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,118.50 : 20,866.84 = 8,406.42 : x
  2. Step 2: Convert to fraction form
    15,118.50/20,866.84 = 8,406.42/x
  3. Step 3: Cross multiply
    15,118.50x = 20,866.84 × 8,406.42
  4. Step 4: Simplify right side
    15,118.50x = 175,415,421.11
  5. Step 5: Solve for x
    x = 175,415,421.11/15,118.50
  6. Step 6: Final answer
    x = 11,602.70

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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.