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Finding the Fourth Proportional to 5,307, 7,960.83 and 1,411.32

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Solution

The fourth proportional to 5,307, 7,960.83 and 1,411.32 is: 2,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307 : 7,960.83 = 1,411.32 : x
  2. Step 2: Convert to fraction form
    5,307/7,960.83 = 1,411.32/x
  3. Step 3: Cross multiply
    5,307x = 7,960.83 × 1,411.32
  4. Step 4: Simplify right side
    5,307x = 11,235,278.60
  5. Step 5: Solve for x
    x = 11,235,278.60/5,307
  6. Step 6: Final answer
    x = 2,117.07

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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.