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Finding the Fourth Proportional to 7,772.64, 10,724.40 and 4,415.52

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Solution

The fourth proportional to 7,772.64, 10,724.40 and 4,415.52 is: 6,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.64 : 10,724.40 = 4,415.52 : x
  2. Step 2: Convert to fraction form
    7,772.64/10,724.40 = 4,415.52/x
  3. Step 3: Cross multiply
    7,772.64x = 10,724.40 × 4,415.52
  4. Step 4: Simplify right side
    7,772.64x = 47,353,802.69
  5. Step 5: Solve for x
    x = 47,353,802.69/7,772.64
  6. Step 6: Final answer
    x = 6,092.37

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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.