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Finding the Fourth Proportional to 14,358.78, 19,814.76 and 8,071.56

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Solution

The fourth proportional to 14,358.78, 19,814.76 and 8,071.56 is: 11,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.78 : 19,814.76 = 8,071.56 : x
  2. Step 2: Convert to fraction form
    14,358.78/19,814.76 = 8,071.56/x
  3. Step 3: Cross multiply
    14,358.78x = 19,814.76 × 8,071.56
  4. Step 4: Simplify right side
    14,358.78x = 159,936,024.23
  5. Step 5: Solve for x
    x = 159,936,024.23/14,358.78
  6. Step 6: Final answer
    x = 11,138.55

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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.