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Finding the Fourth Proportional to 6,389.96, 8,823.94 and 4,815.32

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Solution

The fourth proportional to 6,389.96, 8,823.94 and 4,815.32 is: 6,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.96 : 8,823.94 = 4,815.32 : x
  2. Step 2: Convert to fraction form
    6,389.96/8,823.94 = 4,815.32/x
  3. Step 3: Cross multiply
    6,389.96x = 8,823.94 × 4,815.32
  4. Step 4: Simplify right side
    6,389.96x = 42,490,094.76
  5. Step 5: Solve for x
    x = 42,490,094.76/6,389.96
  6. Step 6: Final answer
    x = 6,649.51

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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.