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Finding the Fourth Proportional to 7,722.42, 10,656 and 4,578

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Solution

The fourth proportional to 7,722.42, 10,656 and 4,578 is: 6,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.42 : 10,656 = 4,578 : x
  2. Step 2: Convert to fraction form
    7,722.42/10,656 = 4,578/x
  3. Step 3: Cross multiply
    7,722.42x = 10,656 × 4,578
  4. Step 4: Simplify right side
    7,722.42x = 48,783,168
  5. Step 5: Solve for x
    x = 48,783,168/7,722.42
  6. Step 6: Final answer
    x = 6,317.08

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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.