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Finding the Fourth Proportional to 4,720.24, 7,080 and 1,210.24

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Solution

The fourth proportional to 4,720.24, 7,080 and 1,210.24 is: 1,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.24 : 7,080 = 1,210.24 : x
  2. Step 2: Convert to fraction form
    4,720.24/7,080 = 1,210.24/x
  3. Step 3: Cross multiply
    4,720.24x = 7,080 × 1,210.24
  4. Step 4: Simplify right side
    4,720.24x = 8,568,499.20
  5. Step 5: Solve for x
    x = 8,568,499.20/4,720.24
  6. Step 6: Final answer
    x = 1,815.27

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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.