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Finding the Fourth Proportional to 7,122.64, 10,684.08 and 2,740.32

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Solution

The fourth proportional to 7,122.64, 10,684.08 and 2,740.32 is: 4,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.64 : 10,684.08 = 2,740.32 : x
  2. Step 2: Convert to fraction form
    7,122.64/10,684.08 = 2,740.32/x
  3. Step 3: Cross multiply
    7,122.64x = 10,684.08 × 2,740.32
  4. Step 4: Simplify right side
    7,122.64x = 29,277,798.11
  5. Step 5: Solve for x
    x = 29,277,798.11/7,122.64
  6. Step 6: Final answer
    x = 4,110.53

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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.