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Finding the Fourth Proportional to 3,913.47, 5,870.21 and 991.77

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Solution

The fourth proportional to 3,913.47, 5,870.21 and 991.77 is: 1,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.47 : 5,870.21 = 991.77 : x
  2. Step 2: Convert to fraction form
    3,913.47/5,870.21 = 991.77/x
  3. Step 3: Cross multiply
    3,913.47x = 5,870.21 × 991.77
  4. Step 4: Simplify right side
    3,913.47x = 5,821,893.21
  5. Step 5: Solve for x
    x = 5,821,893.21/3,913.47
  6. Step 6: Final answer
    x = 1,487.66

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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.