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Finding the Fourth Proportional to 4,878.24, 7,320.40 and 1,800.16

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Solution

The fourth proportional to 4,878.24, 7,320.40 and 1,800.16 is: 2,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.24 : 7,320.40 = 1,800.16 : x
  2. Step 2: Convert to fraction form
    4,878.24/7,320.40 = 1,800.16/x
  3. Step 3: Cross multiply
    4,878.24x = 7,320.40 × 1,800.16
  4. Step 4: Simplify right side
    4,878.24x = 13,177,891.26
  5. Step 5: Solve for x
    x = 13,177,891.26/4,878.24
  6. Step 6: Final answer
    x = 2,701.36

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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.