Home / 10,498-15,749.70-3,924.23

Finding the Fourth Proportional to 10,498, 15,749.70 and 3,924.23

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Solution

The fourth proportional to 10,498, 15,749.70 and 3,924.23 is: 5,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 15,749.70 = 3,924.23 : x
  2. Step 2: Convert to fraction form
    10,498/15,749.70 = 3,924.23/x
  3. Step 3: Cross multiply
    10,498x = 15,749.70 × 3,924.23
  4. Step 4: Simplify right side
    10,498x = 61,805,445.23
  5. Step 5: Solve for x
    x = 61,805,445.23/10,498
  6. Step 6: Final answer
    x = 5,887.35

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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.