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Finding the Fourth Proportional to 11,605.05, 16,015.05 and 6,569.28

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Solution

The fourth proportional to 11,605.05, 16,015.05 and 6,569.28 is: 9,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.05 : 16,015.05 = 6,569.28 : x
  2. Step 2: Convert to fraction form
    11,605.05/16,015.05 = 6,569.28/x
  3. Step 3: Cross multiply
    11,605.05x = 16,015.05 × 6,569.28
  4. Step 4: Simplify right side
    11,605.05x = 105,207,347.66
  5. Step 5: Solve for x
    x = 105,207,347.66/11,605.05
  6. Step 6: Final answer
    x = 9,065.65

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1.5x scale

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.