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Finding the Fourth Proportional to 9,201.60, 13,802.40 and 3,045.60

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Solution

The fourth proportional to 9,201.60, 13,802.40 and 3,045.60 is: 4,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.60 : 13,802.40 = 3,045.60 : x
  2. Step 2: Convert to fraction form
    9,201.60/13,802.40 = 3,045.60/x
  3. Step 3: Cross multiply
    9,201.60x = 13,802.40 × 3,045.60
  4. Step 4: Simplify right side
    9,201.60x = 42,036,589.44
  5. Step 5: Solve for x
    x = 42,036,589.44/9,201.60
  6. Step 6: Final answer
    x = 4,568.40

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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.