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Finding the Fourth Proportional to 2,106.64, 3,157.80 and 953.20

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Solution

The fourth proportional to 2,106.64, 3,157.80 and 953.20 is: 1,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.64 : 3,157.80 = 953.20 : x
  2. Step 2: Convert to fraction form
    2,106.64/3,157.80 = 953.20/x
  3. Step 3: Cross multiply
    2,106.64x = 3,157.80 × 953.20
  4. Step 4: Simplify right side
    2,106.64x = 3,010,014.96
  5. Step 5: Solve for x
    x = 3,010,014.96/2,106.64
  6. Step 6: Final answer
    x = 1,428.82

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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.