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Finding the Fourth Proportional to 12,973.80, 19,447.74 and 6,404.70

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Solution

The fourth proportional to 12,973.80, 19,447.74 and 6,404.70 is: 9,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.80 : 19,447.74 = 6,404.70 : x
  2. Step 2: Convert to fraction form
    12,973.80/19,447.74 = 6,404.70/x
  3. Step 3: Cross multiply
    12,973.80x = 19,447.74 × 6,404.70
  4. Step 4: Simplify right side
    12,973.80x = 124,556,940.38
  5. Step 5: Solve for x
    x = 124,556,940.38/12,973.80
  6. Step 6: Final answer
    x = 9,600.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.