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Finding the Fourth Proportional to 7,750.94, 11,621.54 and 5,643.32

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Solution

The fourth proportional to 7,750.94, 11,621.54 and 5,643.32 is: 8,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.94 : 11,621.54 = 5,643.32 : x
  2. Step 2: Convert to fraction form
    7,750.94/11,621.54 = 5,643.32/x
  3. Step 3: Cross multiply
    7,750.94x = 11,621.54 × 5,643.32
  4. Step 4: Simplify right side
    7,750.94x = 65,584,069.11
  5. Step 5: Solve for x
    x = 65,584,069.11/7,750.94
  6. Step 6: Final answer
    x = 8,461.43

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1.5x scale

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.