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Finding the Fourth Proportional to 7,138.94, 10,689.96 and 4,924.60

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Solution

The fourth proportional to 7,138.94, 10,689.96 and 4,924.60 is: 7,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.94 : 10,689.96 = 4,924.60 : x
  2. Step 2: Convert to fraction form
    7,138.94/10,689.96 = 4,924.60/x
  3. Step 3: Cross multiply
    7,138.94x = 10,689.96 × 4,924.60
  4. Step 4: Simplify right side
    7,138.94x = 52,643,741.06
  5. Step 5: Solve for x
    x = 52,643,741.06/7,138.94
  6. Step 6: Final answer
    x = 7,374.17

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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.