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Finding the Fourth Proportional to 5,205.07, 7,807.02 and 1,309.47

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Solution

The fourth proportional to 5,205.07, 7,807.02 and 1,309.47 is: 1,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.07 : 7,807.02 = 1,309.47 : x
  2. Step 2: Convert to fraction form
    5,205.07/7,807.02 = 1,309.47/x
  3. Step 3: Cross multiply
    5,205.07x = 7,807.02 × 1,309.47
  4. Step 4: Simplify right side
    5,205.07x = 10,223,058.48
  5. Step 5: Solve for x
    x = 10,223,058.48/5,205.07
  6. Step 6: Final answer
    x = 1,964.06

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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.