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Finding the Fourth Proportional to 14,210, 19,609.80 and 7,922.78

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Solution

The fourth proportional to 14,210, 19,609.80 and 7,922.78 is: 10,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210 : 19,609.80 = 7,922.78 : x
  2. Step 2: Convert to fraction form
    14,210/19,609.80 = 7,922.78/x
  3. Step 3: Cross multiply
    14,210x = 19,609.80 × 7,922.78
  4. Step 4: Simplify right side
    14,210x = 155,364,131.24
  5. Step 5: Solve for x
    x = 155,364,131.24/14,210
  6. Step 6: Final answer
    x = 10,933.44

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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.