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Finding the Fourth Proportional to 6,651.78, 9,970.93 and 4,313.28

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Solution

The fourth proportional to 6,651.78, 9,970.93 and 4,313.28 is: 6,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.78 : 9,970.93 = 4,313.28 : x
  2. Step 2: Convert to fraction form
    6,651.78/9,970.93 = 4,313.28/x
  3. Step 3: Cross multiply
    6,651.78x = 9,970.93 × 4,313.28
  4. Step 4: Simplify right side
    6,651.78x = 43,007,412.95
  5. Step 5: Solve for x
    x = 43,007,412.95/6,651.78
  6. Step 6: Final answer
    x = 6,465.55

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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.