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Finding the Fourth Proportional to 7,123.79, 9,829.26 and 4,138.08

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Solution

The fourth proportional to 7,123.79, 9,829.26 and 4,138.08 is: 5,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.79 : 9,829.26 = 4,138.08 : x
  2. Step 2: Convert to fraction form
    7,123.79/9,829.26 = 4,138.08/x
  3. Step 3: Cross multiply
    7,123.79x = 9,829.26 × 4,138.08
  4. Step 4: Simplify right side
    7,123.79x = 40,674,264.22
  5. Step 5: Solve for x
    x = 40,674,264.22/7,123.79
  6. Step 6: Final answer
    x = 5,709.64

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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.