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Finding the Fourth Proportional to 5,129.40, 7,032.40 and 5,035.98

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Solution

The fourth proportional to 5,129.40, 7,032.40 and 5,035.98 is: 6,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.40 : 7,032.40 = 5,035.98 : x
  2. Step 2: Convert to fraction form
    5,129.40/7,032.40 = 5,035.98/x
  3. Step 3: Cross multiply
    5,129.40x = 7,032.40 × 5,035.98
  4. Step 4: Simplify right side
    5,129.40x = 35,415,025.75
  5. Step 5: Solve for x
    x = 35,415,025.75/5,129.40
  6. Step 6: Final answer
    x = 6,904.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.