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Finding the Fourth Proportional to 7,955.49, 10,978.42 and 4,418.58

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Solution

The fourth proportional to 7,955.49, 10,978.42 and 4,418.58 is: 6,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.49 : 10,978.42 = 4,418.58 : x
  2. Step 2: Convert to fraction form
    7,955.49/10,978.42 = 4,418.58/x
  3. Step 3: Cross multiply
    7,955.49x = 10,978.42 × 4,418.58
  4. Step 4: Simplify right side
    7,955.49x = 48,509,027.04
  5. Step 5: Solve for x
    x = 48,509,027.04/7,955.49
  6. Step 6: Final answer
    x = 6,097.55

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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.