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Finding the Fourth Proportional to 7,730.94, 10,642.87 and 7,378.32

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Solution

The fourth proportional to 7,730.94, 10,642.87 and 7,378.32 is: 10,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.94 : 10,642.87 = 7,378.32 : x
  2. Step 2: Convert to fraction form
    7,730.94/10,642.87 = 7,378.32/x
  3. Step 3: Cross multiply
    7,730.94x = 10,642.87 × 7,378.32
  4. Step 4: Simplify right side
    7,730.94x = 78,526,500.58
  5. Step 5: Solve for x
    x = 78,526,500.58/7,730.94
  6. Step 6: Final answer
    x = 10,157.43

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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.