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Finding the Fourth Proportional to 2,752.96, 4,129.63 and 973.82

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Solution

The fourth proportional to 2,752.96, 4,129.63 and 973.82 is: 1,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.96 : 4,129.63 = 973.82 : x
  2. Step 2: Convert to fraction form
    2,752.96/4,129.63 = 973.82/x
  3. Step 3: Cross multiply
    2,752.96x = 4,129.63 × 973.82
  4. Step 4: Simplify right side
    2,752.96x = 4,021,508.69
  5. Step 5: Solve for x
    x = 4,021,508.69/2,752.96
  6. Step 6: Final answer
    x = 1,460.80

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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.