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Finding the Fourth Proportional to 4,942.34, 7,405.14 and 4,319.18

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Solution

The fourth proportional to 4,942.34, 7,405.14 and 4,319.18 is: 6,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.34 : 7,405.14 = 4,319.18 : x
  2. Step 2: Convert to fraction form
    4,942.34/7,405.14 = 4,319.18/x
  3. Step 3: Cross multiply
    4,942.34x = 7,405.14 × 4,319.18
  4. Step 4: Simplify right side
    4,942.34x = 31,984,132.59
  5. Step 5: Solve for x
    x = 31,984,132.59/4,942.34
  6. Step 6: Final answer
    x = 6,471.46

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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.