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Finding the Fourth Proportional to 7,955.77, 10,978.96 and 4,419.31

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Solution

The fourth proportional to 7,955.77, 10,978.96 and 4,419.31 is: 6,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.77 : 10,978.96 = 4,419.31 : x
  2. Step 2: Convert to fraction form
    7,955.77/10,978.96 = 4,419.31/x
  3. Step 3: Cross multiply
    7,955.77x = 10,978.96 × 4,419.31
  4. Step 4: Simplify right side
    7,955.77x = 48,519,389.22
  5. Step 5: Solve for x
    x = 48,519,389.22/7,955.77
  6. Step 6: Final answer
    x = 6,098.64

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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.