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Finding the Fourth Proportional to 5,880.82, 8,822.54 and 1,985.13

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Solution

The fourth proportional to 5,880.82, 8,822.54 and 1,985.13 is: 2,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.82 : 8,822.54 = 1,985.13 : x
  2. Step 2: Convert to fraction form
    5,880.82/8,822.54 = 1,985.13/x
  3. Step 3: Cross multiply
    5,880.82x = 8,822.54 × 1,985.13
  4. Step 4: Simplify right side
    5,880.82x = 17,513,888.83
  5. Step 5: Solve for x
    x = 17,513,888.83/5,880.82
  6. Step 6: Final answer
    x = 2,978.14

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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.