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Finding the Fourth Proportional to 5,231.51, 7,848.11 and 1,720.50

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Solution

The fourth proportional to 5,231.51, 7,848.11 and 1,720.50 is: 2,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.51 : 7,848.11 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    5,231.51/7,848.11 = 1,720.50/x
  3. Step 3: Cross multiply
    5,231.51x = 7,848.11 × 1,720.50
  4. Step 4: Simplify right side
    5,231.51x = 13,502,673.26
  5. Step 5: Solve for x
    x = 13,502,673.26/5,231.51
  6. Step 6: Final answer
    x = 2,581.03

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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.