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Finding the Fourth Proportional to 7,557.52, 10,420 and 5,034.10

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Solution

The fourth proportional to 7,557.52, 10,420 and 5,034.10 is: 6,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.52 : 10,420 = 5,034.10 : x
  2. Step 2: Convert to fraction form
    7,557.52/10,420 = 5,034.10/x
  3. Step 3: Cross multiply
    7,557.52x = 10,420 × 5,034.10
  4. Step 4: Simplify right side
    7,557.52x = 52,455,322.00
  5. Step 5: Solve for x
    x = 52,455,322.00/7,557.52
  6. Step 6: Final answer
    x = 6,940.81

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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.