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Finding the Fourth Proportional to 14,710.95, 20,305.76 and 9,405.79

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Solution

The fourth proportional to 14,710.95, 20,305.76 and 9,405.79 is: 12,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.95 : 20,305.76 = 9,405.79 : x
  2. Step 2: Convert to fraction form
    14,710.95/20,305.76 = 9,405.79/x
  3. Step 3: Cross multiply
    14,710.95x = 20,305.76 × 9,405.79
  4. Step 4: Simplify right side
    14,710.95x = 190,991,714.35
  5. Step 5: Solve for x
    x = 190,991,714.35/14,710.95
  6. Step 6: Final answer
    x = 12,982.96

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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.