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Finding the Fourth Proportional to 5,989.90, 8,985.95 and 2,478.01

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Solution

The fourth proportional to 5,989.90, 8,985.95 and 2,478.01 is: 3,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.90 : 8,985.95 = 2,478.01 : x
  2. Step 2: Convert to fraction form
    5,989.90/8,985.95 = 2,478.01/x
  3. Step 3: Cross multiply
    5,989.90x = 8,985.95 × 2,478.01
  4. Step 4: Simplify right side
    5,989.90x = 22,267,273.96
  5. Step 5: Solve for x
    x = 22,267,273.96/5,989.90
  6. Step 6: Final answer
    x = 3,717.47

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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.