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Finding the Fourth Proportional to 4,971.28, 7,457.28 and 1,508.52

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Solution

The fourth proportional to 4,971.28, 7,457.28 and 1,508.52 is: 2,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.28 : 7,457.28 = 1,508.52 : x
  2. Step 2: Convert to fraction form
    4,971.28/7,457.28 = 1,508.52/x
  3. Step 3: Cross multiply
    4,971.28x = 7,457.28 × 1,508.52
  4. Step 4: Simplify right side
    4,971.28x = 11,249,456.03
  5. Step 5: Solve for x
    x = 11,249,456.03/4,971.28
  6. Step 6: Final answer
    x = 2,262.89

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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.