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Finding the Fourth Proportional to 6,509.34, 9,780.05 and 4,170.35

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Solution

The fourth proportional to 6,509.34, 9,780.05 and 4,170.35 is: 6,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.34 : 9,780.05 = 4,170.35 : x
  2. Step 2: Convert to fraction form
    6,509.34/9,780.05 = 4,170.35/x
  3. Step 3: Cross multiply
    6,509.34x = 9,780.05 × 4,170.35
  4. Step 4: Simplify right side
    6,509.34x = 40,786,266.39
  5. Step 5: Solve for x
    x = 40,786,266.39/6,509.34
  6. Step 6: Final answer
    x = 6,265.81

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1.5x scale

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.