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Finding the Fourth Proportional to 3,915.76, 5,873.16 and 993.88

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Solution

The fourth proportional to 3,915.76, 5,873.16 and 993.88 is: 1,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.76 : 5,873.16 = 993.88 : x
  2. Step 2: Convert to fraction form
    3,915.76/5,873.16 = 993.88/x
  3. Step 3: Cross multiply
    3,915.76x = 5,873.16 × 993.88
  4. Step 4: Simplify right side
    3,915.76x = 5,837,216.26
  5. Step 5: Solve for x
    x = 5,837,216.26/3,915.76
  6. Step 6: Final answer
    x = 1,490.70

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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.