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Finding the Fourth Proportional to 11,515.70, 15,891.60 and 6,547.70

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Solution

The fourth proportional to 11,515.70, 15,891.60 and 6,547.70 is: 9,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.70 : 15,891.60 = 6,547.70 : x
  2. Step 2: Convert to fraction form
    11,515.70/15,891.60 = 6,547.70/x
  3. Step 3: Cross multiply
    11,515.70x = 15,891.60 × 6,547.70
  4. Step 4: Simplify right side
    11,515.70x = 104,053,429.32
  5. Step 5: Solve for x
    x = 104,053,429.32/11,515.70
  6. Step 6: Final answer
    x = 9,035.79

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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.