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Finding the Fourth Proportional to 12,412.99, 18,624.30 and 9,807.76

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Solution

The fourth proportional to 12,412.99, 18,624.30 and 9,807.76 is: 14,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.99 : 18,624.30 = 9,807.76 : x
  2. Step 2: Convert to fraction form
    12,412.99/18,624.30 = 9,807.76/x
  3. Step 3: Cross multiply
    12,412.99x = 18,624.30 × 9,807.76
  4. Step 4: Simplify right side
    12,412.99x = 182,662,664.57
  5. Step 5: Solve for x
    x = 182,662,664.57/12,412.99
  6. Step 6: Final answer
    x = 14,715.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.