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Finding the Fourth Proportional to 9,665.60, 14,503.20 and 3,822.40

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Solution

The fourth proportional to 9,665.60, 14,503.20 and 3,822.40 is: 5,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.60 : 14,503.20 = 3,822.40 : x
  2. Step 2: Convert to fraction form
    9,665.60/14,503.20 = 3,822.40/x
  3. Step 3: Cross multiply
    9,665.60x = 14,503.20 × 3,822.40
  4. Step 4: Simplify right side
    9,665.60x = 55,437,031.68
  5. Step 5: Solve for x
    x = 55,437,031.68/9,665.60
  6. Step 6: Final answer
    x = 5,735.50

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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.