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Finding the Fourth Proportional to 14,846.40, 20,489.76 and 8,559

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Solution

The fourth proportional to 14,846.40, 20,489.76 and 8,559 is: 11,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.40 : 20,489.76 = 8,559 : x
  2. Step 2: Convert to fraction form
    14,846.40/20,489.76 = 8,559/x
  3. Step 3: Cross multiply
    14,846.40x = 20,489.76 × 8,559
  4. Step 4: Simplify right side
    14,846.40x = 175,371,855.84
  5. Step 5: Solve for x
    x = 175,371,855.84/14,846.40
  6. Step 6: Final answer
    x = 11,812.42

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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.