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Finding the Fourth Proportional to 6,320, 9,484.32 and 3,035.72

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Solution

The fourth proportional to 6,320, 9,484.32 and 3,035.72 is: 4,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320 : 9,484.32 = 3,035.72 : x
  2. Step 2: Convert to fraction form
    6,320/9,484.32 = 3,035.72/x
  3. Step 3: Cross multiply
    6,320x = 9,484.32 × 3,035.72
  4. Step 4: Simplify right side
    6,320x = 28,791,739.91
  5. Step 5: Solve for x
    x = 28,791,739.91/6,320
  6. Step 6: Final answer
    x = 4,555.66

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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.