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Finding the Fourth Proportional to 9,145.60, 13,721.60 and 3,302.40

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Solution

The fourth proportional to 9,145.60, 13,721.60 and 3,302.40 is: 4,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.60 : 13,721.60 = 3,302.40 : x
  2. Step 2: Convert to fraction form
    9,145.60/13,721.60 = 3,302.40/x
  3. Step 3: Cross multiply
    9,145.60x = 13,721.60 × 3,302.40
  4. Step 4: Simplify right side
    9,145.60x = 45,314,211.84
  5. Step 5: Solve for x
    x = 45,314,211.84/9,145.60
  6. Step 6: Final answer
    x = 4,954.76

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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.