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Finding the Fourth Proportional to 5,599.36, 8,400 and 1,651.20

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Solution

The fourth proportional to 5,599.36, 8,400 and 1,651.20 is: 2,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.36 : 8,400 = 1,651.20 : x
  2. Step 2: Convert to fraction form
    5,599.36/8,400 = 1,651.20/x
  3. Step 3: Cross multiply
    5,599.36x = 8,400 × 1,651.20
  4. Step 4: Simplify right side
    5,599.36x = 13,870,080
  5. Step 5: Solve for x
    x = 13,870,080/5,599.36
  6. Step 6: Final answer
    x = 2,477.08

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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.