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Finding the Fourth Proportional to 10,647.63, 16,007.49 and 8,582.13

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Solution

The fourth proportional to 10,647.63, 16,007.49 and 8,582.13 is: 12,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.63 : 16,007.49 = 8,582.13 : x
  2. Step 2: Convert to fraction form
    10,647.63/16,007.49 = 8,582.13/x
  3. Step 3: Cross multiply
    10,647.63x = 16,007.49 × 8,582.13
  4. Step 4: Simplify right side
    10,647.63x = 137,378,360.15
  5. Step 5: Solve for x
    x = 137,378,360.15/10,647.63
  6. Step 6: Final answer
    x = 12,902.25

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1.5x scale

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.