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Finding the Fourth Proportional to 5,985.42, 8,978.25 and 1,602.87

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Solution

The fourth proportional to 5,985.42, 8,978.25 and 1,602.87 is: 2,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.42 : 8,978.25 = 1,602.87 : x
  2. Step 2: Convert to fraction form
    5,985.42/8,978.25 = 1,602.87/x
  3. Step 3: Cross multiply
    5,985.42x = 8,978.25 × 1,602.87
  4. Step 4: Simplify right side
    5,985.42x = 14,390,967.58
  5. Step 5: Solve for x
    x = 14,390,967.58/5,985.42
  6. Step 6: Final answer
    x = 2,404.34

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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.