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Finding the Fourth Proportional to 3,979.01, 5,968.50 and 977.06

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Solution

The fourth proportional to 3,979.01, 5,968.50 and 977.06 is: 1,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.01 : 5,968.50 = 977.06 : x
  2. Step 2: Convert to fraction form
    3,979.01/5,968.50 = 977.06/x
  3. Step 3: Cross multiply
    3,979.01x = 5,968.50 × 977.06
  4. Step 4: Simplify right side
    3,979.01x = 5,831,582.61
  5. Step 5: Solve for x
    x = 5,831,582.61/3,979.01
  6. Step 6: Final answer
    x = 1,465.59

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Similar ratio
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1.5x scale

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.