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Finding the Fourth Proportional to 6,890.52, 9,509 and 3,746.64

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Solution

The fourth proportional to 6,890.52, 9,509 and 3,746.64 is: 5,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.52 : 9,509 = 3,746.64 : x
  2. Step 2: Convert to fraction form
    6,890.52/9,509 = 3,746.64/x
  3. Step 3: Cross multiply
    6,890.52x = 9,509 × 3,746.64
  4. Step 4: Simplify right side
    6,890.52x = 35,626,799.76
  5. Step 5: Solve for x
    x = 35,626,799.76/6,890.52
  6. Step 6: Final answer
    x = 5,170.41

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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.