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Finding the Fourth Proportional to 6,480.16, 9,719.28 and 1,800.64

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Solution

The fourth proportional to 6,480.16, 9,719.28 and 1,800.64 is: 2,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.16 : 9,719.28 = 1,800.64 : x
  2. Step 2: Convert to fraction form
    6,480.16/9,719.28 = 1,800.64/x
  3. Step 3: Cross multiply
    6,480.16x = 9,719.28 × 1,800.64
  4. Step 4: Simplify right side
    6,480.16x = 17,500,924.34
  5. Step 5: Solve for x
    x = 17,500,924.34/6,480.16
  6. Step 6: Final answer
    x = 2,700.69

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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.