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Finding the Fourth Proportional to 7,023, 9,691.74 and 4,539

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Solution

The fourth proportional to 7,023, 9,691.74 and 4,539 is: 6,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023 : 9,691.74 = 4,539 : x
  2. Step 2: Convert to fraction form
    7,023/9,691.74 = 4,539/x
  3. Step 3: Cross multiply
    7,023x = 9,691.74 × 4,539
  4. Step 4: Simplify right side
    7,023x = 43,990,807.86
  5. Step 5: Solve for x
    x = 43,990,807.86/7,023
  6. Step 6: Final answer
    x = 6,263.82

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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.