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Finding the Fourth Proportional to 3,985.84, 5,978.76 and 1,064.16

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Solution

The fourth proportional to 3,985.84, 5,978.76 and 1,064.16 is: 1,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.84 : 5,978.76 = 1,064.16 : x
  2. Step 2: Convert to fraction form
    3,985.84/5,978.76 = 1,064.16/x
  3. Step 3: Cross multiply
    3,985.84x = 5,978.76 × 1,064.16
  4. Step 4: Simplify right side
    3,985.84x = 6,362,357.24
  5. Step 5: Solve for x
    x = 6,362,357.24/3,985.84
  6. Step 6: Final answer
    x = 1,596.24

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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.