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Finding the Fourth Proportional to 2,870.64, 4,308.12 and 2,103.12

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Solution

The fourth proportional to 2,870.64, 4,308.12 and 2,103.12 is: 3,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.64 : 4,308.12 = 2,103.12 : x
  2. Step 2: Convert to fraction form
    2,870.64/4,308.12 = 2,103.12/x
  3. Step 3: Cross multiply
    2,870.64x = 4,308.12 × 2,103.12
  4. Step 4: Simplify right side
    2,870.64x = 9,060,493.33
  5. Step 5: Solve for x
    x = 9,060,493.33/2,870.64
  6. Step 6: Final answer
    x = 3,156.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.