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Finding the Fourth Proportional to 13,077.78, 19,585.14 and 7,514.22

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Solution

The fourth proportional to 13,077.78, 19,585.14 and 7,514.22 is: 11,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.78 : 19,585.14 = 7,514.22 : x
  2. Step 2: Convert to fraction form
    13,077.78/19,585.14 = 7,514.22/x
  3. Step 3: Cross multiply
    13,077.78x = 19,585.14 × 7,514.22
  4. Step 4: Simplify right side
    13,077.78x = 147,167,050.69
  5. Step 5: Solve for x
    x = 147,167,050.69/13,077.78
  6. Step 6: Final answer
    x = 11,253.21

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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.