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Finding the Fourth Proportional to 4,262, 5,881.60 and 3,513.20

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Solution

The fourth proportional to 4,262, 5,881.60 and 3,513.20 is: 4,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262 : 5,881.60 = 3,513.20 : x
  2. Step 2: Convert to fraction form
    4,262/5,881.60 = 3,513.20/x
  3. Step 3: Cross multiply
    4,262x = 5,881.60 × 3,513.20
  4. Step 4: Simplify right side
    4,262x = 20,663,237.12
  5. Step 5: Solve for x
    x = 20,663,237.12/4,262
  6. Step 6: Final answer
    x = 4,848.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.