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Finding the Fourth Proportional to 14,697, 20,281.98 and 8,409.24

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Solution

The fourth proportional to 14,697, 20,281.98 and 8,409.24 is: 11,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697 : 20,281.98 = 8,409.24 : x
  2. Step 2: Convert to fraction form
    14,697/20,281.98 = 8,409.24/x
  3. Step 3: Cross multiply
    14,697x = 20,281.98 × 8,409.24
  4. Step 4: Simplify right side
    14,697x = 170,556,037.50
  5. Step 5: Solve for x
    x = 170,556,037.50/14,697
  6. Step 6: Final answer
    x = 11,604.82

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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.