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Finding the Fourth Proportional to 14,152.50, 19,530.84 and 8,488.16

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Solution

The fourth proportional to 14,152.50, 19,530.84 and 8,488.16 is: 11,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.50 : 19,530.84 = 8,488.16 : x
  2. Step 2: Convert to fraction form
    14,152.50/19,530.84 = 8,488.16/x
  3. Step 3: Cross multiply
    14,152.50x = 19,530.84 × 8,488.16
  4. Step 4: Simplify right side
    14,152.50x = 165,780,894.85
  5. Step 5: Solve for x
    x = 165,780,894.85/14,152.50
  6. Step 6: Final answer
    x = 11,713.89

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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.