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Finding the Fourth Proportional to 5,006, 7,507.65 and 1,885.79

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Solution

The fourth proportional to 5,006, 7,507.65 and 1,885.79 is: 2,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 7,507.65 = 1,885.79 : x
  2. Step 2: Convert to fraction form
    5,006/7,507.65 = 1,885.79/x
  3. Step 3: Cross multiply
    5,006x = 7,507.65 × 1,885.79
  4. Step 4: Simplify right side
    5,006x = 14,157,851.29
  5. Step 5: Solve for x
    x = 14,157,851.29/5,006
  6. Step 6: Final answer
    x = 2,828.18

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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.