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Finding the Fourth Proportional to 14,703.20, 20,290 and 8,415.36

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Solution

The fourth proportional to 14,703.20, 20,290 and 8,415.36 is: 11,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703.20 : 20,290 = 8,415.36 : x
  2. Step 2: Convert to fraction form
    14,703.20/20,290 = 8,415.36/x
  3. Step 3: Cross multiply
    14,703.20x = 20,290 × 8,415.36
  4. Step 4: Simplify right side
    14,703.20x = 170,747,654.40
  5. Step 5: Solve for x
    x = 170,747,654.40/14,703.20
  6. Step 6: Final answer
    x = 11,612.96

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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.