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Finding the Fourth Proportional to 10,985, 16,479.57 and 4,411.70

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Solution

The fourth proportional to 10,985, 16,479.57 and 4,411.70 is: 6,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985 : 16,479.57 = 4,411.70 : x
  2. Step 2: Convert to fraction form
    10,985/16,479.57 = 4,411.70/x
  3. Step 3: Cross multiply
    10,985x = 16,479.57 × 4,411.70
  4. Step 4: Simplify right side
    10,985x = 72,702,918.97
  5. Step 5: Solve for x
    x = 72,702,918.97/10,985
  6. Step 6: Final answer
    x = 6,618.38

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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.