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Finding the Fourth Proportional to 7,955.24, 10,978.16 and 4,321.26

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Solution

The fourth proportional to 7,955.24, 10,978.16 and 4,321.26 is: 5,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.24 : 10,978.16 = 4,321.26 : x
  2. Step 2: Convert to fraction form
    7,955.24/10,978.16 = 4,321.26/x
  3. Step 3: Cross multiply
    7,955.24x = 10,978.16 × 4,321.26
  4. Step 4: Simplify right side
    7,955.24x = 47,439,462.08
  5. Step 5: Solve for x
    x = 47,439,462.08/7,955.24
  6. Step 6: Final answer
    x = 5,963.30

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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.