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Finding the Fourth Proportional to 4,242.48, 6,363.48 and 1,776

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Solution

The fourth proportional to 4,242.48, 6,363.48 and 1,776 is: 2,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.48 : 6,363.48 = 1,776 : x
  2. Step 2: Convert to fraction form
    4,242.48/6,363.48 = 1,776/x
  3. Step 3: Cross multiply
    4,242.48x = 6,363.48 × 1,776
  4. Step 4: Simplify right side
    4,242.48x = 11,301,540.48
  5. Step 5: Solve for x
    x = 11,301,540.48/4,242.48
  6. Step 6: Final answer
    x = 2,663.90

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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.