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Finding the Fourth Proportional to 7,805.64, 10,772.82 and 5,019.24

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Solution

The fourth proportional to 7,805.64, 10,772.82 and 5,019.24 is: 6,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.64 : 10,772.82 = 5,019.24 : x
  2. Step 2: Convert to fraction form
    7,805.64/10,772.82 = 5,019.24/x
  3. Step 3: Cross multiply
    7,805.64x = 10,772.82 × 5,019.24
  4. Step 4: Simplify right side
    7,805.64x = 54,071,369.06
  5. Step 5: Solve for x
    x = 54,071,369.06/7,805.64
  6. Step 6: Final answer
    x = 6,927.22

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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.