Home / 9,724.85-13,429.50-7,749.94

Finding the Fourth Proportional to 9,724.85, 13,429.50 and 7,749.94

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Solution

The fourth proportional to 9,724.85, 13,429.50 and 7,749.94 is: 10,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.85 : 13,429.50 = 7,749.94 : x
  2. Step 2: Convert to fraction form
    9,724.85/13,429.50 = 7,749.94/x
  3. Step 3: Cross multiply
    9,724.85x = 13,429.50 × 7,749.94
  4. Step 4: Simplify right side
    9,724.85x = 104,077,819.23
  5. Step 5: Solve for x
    x = 104,077,819.23/9,724.85
  6. Step 6: Final answer
    x = 10,702.25

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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.