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Finding the Fourth Proportional to 4,712.64, 7,068.95 and 2,113.75

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Solution

The fourth proportional to 4,712.64, 7,068.95 and 2,113.75 is: 3,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.64 : 7,068.95 = 2,113.75 : x
  2. Step 2: Convert to fraction form
    4,712.64/7,068.95 = 2,113.75/x
  3. Step 3: Cross multiply
    4,712.64x = 7,068.95 × 2,113.75
  4. Step 4: Simplify right side
    4,712.64x = 14,941,993.06
  5. Step 5: Solve for x
    x = 14,941,993.06/4,712.64
  6. Step 6: Final answer
    x = 3,170.62

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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.