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Finding the Fourth Proportional to 9,353.88, 13,965.71 and 8,420.76

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Solution

The fourth proportional to 9,353.88, 13,965.71 and 8,420.76 is: 12,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.88 : 13,965.71 = 8,420.76 : x
  2. Step 2: Convert to fraction form
    9,353.88/13,965.71 = 8,420.76/x
  3. Step 3: Cross multiply
    9,353.88x = 13,965.71 × 8,420.76
  4. Step 4: Simplify right side
    9,353.88x = 117,601,850.04
  5. Step 5: Solve for x
    x = 117,601,850.04/9,353.88
  6. Step 6: Final answer
    x = 12,572.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.