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Finding the Fourth Proportional to 5,207, 7,810.92 and 1,921.04

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Solution

The fourth proportional to 5,207, 7,810.92 and 1,921.04 is: 2,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207 : 7,810.92 = 1,921.04 : x
  2. Step 2: Convert to fraction form
    5,207/7,810.92 = 1,921.04/x
  3. Step 3: Cross multiply
    5,207x = 7,810.92 × 1,921.04
  4. Step 4: Simplify right side
    5,207x = 15,005,089.76
  5. Step 5: Solve for x
    x = 15,005,089.76/5,207
  6. Step 6: Final answer
    x = 2,881.71

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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.