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Finding the Fourth Proportional to 4,713.89, 7,070.84 and 2,115

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Solution

The fourth proportional to 4,713.89, 7,070.84 and 2,115 is: 3,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.89 : 7,070.84 = 2,115 : x
  2. Step 2: Convert to fraction form
    4,713.89/7,070.84 = 2,115/x
  3. Step 3: Cross multiply
    4,713.89x = 7,070.84 × 2,115
  4. Step 4: Simplify right side
    4,713.89x = 14,954,816.03
  5. Step 5: Solve for x
    x = 14,954,816.03/4,713.89
  6. Step 6: Final answer
    x = 3,172.50

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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.