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Finding the Fourth Proportional to 6,897.34, 9,520.50 and 4,064.57

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Solution

The fourth proportional to 6,897.34, 9,520.50 and 4,064.57 is: 5,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.34 : 9,520.50 = 4,064.57 : x
  2. Step 2: Convert to fraction form
    6,897.34/9,520.50 = 4,064.57/x
  3. Step 3: Cross multiply
    6,897.34x = 9,520.50 × 4,064.57
  4. Step 4: Simplify right side
    6,897.34x = 38,696,738.69
  5. Step 5: Solve for x
    x = 38,696,738.69/6,897.34
  6. Step 6: Final answer
    x = 5,610.39

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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.