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Finding the Fourth Proportional to 5,509, 7,602.42 and 3,025.16

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Solution

The fourth proportional to 5,509, 7,602.42 and 3,025.16 is: 4,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509 : 7,602.42 = 3,025.16 : x
  2. Step 2: Convert to fraction form
    5,509/7,602.42 = 3,025.16/x
  3. Step 3: Cross multiply
    5,509x = 7,602.42 × 3,025.16
  4. Step 4: Simplify right side
    5,509x = 22,998,536.89
  5. Step 5: Solve for x
    x = 22,998,536.89/5,509
  6. Step 6: Final answer
    x = 4,174.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.