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Finding the Fourth Proportional to 14,710.50, 20,286.52 and 9,678.99

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Solution

The fourth proportional to 14,710.50, 20,286.52 and 9,678.99 is: 13,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.50 : 20,286.52 = 9,678.99 : x
  2. Step 2: Convert to fraction form
    14,710.50/20,286.52 = 9,678.99/x
  3. Step 3: Cross multiply
    14,710.50x = 20,286.52 × 9,678.99
  4. Step 4: Simplify right side
    14,710.50x = 196,353,024.21
  5. Step 5: Solve for x
    x = 196,353,024.21/14,710.50
  6. Step 6: Final answer
    x = 13,347.81

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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.