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Finding the Fourth Proportional to 14,324.78, 19,769.40 and 8,356.84

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Solution

The fourth proportional to 14,324.78, 19,769.40 and 8,356.84 is: 11,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.78 : 19,769.40 = 8,356.84 : x
  2. Step 2: Convert to fraction form
    14,324.78/19,769.40 = 8,356.84/x
  3. Step 3: Cross multiply
    14,324.78x = 19,769.40 × 8,356.84
  4. Step 4: Simplify right side
    14,324.78x = 165,209,663.27
  5. Step 5: Solve for x
    x = 165,209,663.27/14,324.78
  6. Step 6: Final answer
    x = 11,533.14

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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.