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Finding the Fourth Proportional to 14,847.40, 20,491.14 and 8,560

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Solution

The fourth proportional to 14,847.40, 20,491.14 and 8,560 is: 11,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.40 : 20,491.14 = 8,560 : x
  2. Step 2: Convert to fraction form
    14,847.40/20,491.14 = 8,560/x
  3. Step 3: Cross multiply
    14,847.40x = 20,491.14 × 8,560
  4. Step 4: Simplify right side
    14,847.40x = 175,404,158.40
  5. Step 5: Solve for x
    x = 175,404,158.40/14,847.40
  6. Step 6: Final answer
    x = 11,813.80

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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.