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Finding the Fourth Proportional to 14,295.16, 19,716.78 and 9,819.64

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Solution

The fourth proportional to 14,295.16, 19,716.78 and 9,819.64 is: 13,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.16 : 19,716.78 = 9,819.64 : x
  2. Step 2: Convert to fraction form
    14,295.16/19,716.78 = 9,819.64/x
  3. Step 3: Cross multiply
    14,295.16x = 19,716.78 × 9,819.64
  4. Step 4: Simplify right side
    14,295.16x = 193,611,681.56
  5. Step 5: Solve for x
    x = 193,611,681.56/14,295.16
  6. Step 6: Final answer
    x = 13,543.86

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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.