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Finding the Fourth Proportional to 2,344.35, 3,516.53 and 612.98

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Solution

The fourth proportional to 2,344.35, 3,516.53 and 612.98 is: 919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.35 : 3,516.53 = 612.98 : x
  2. Step 2: Convert to fraction form
    2,344.35/3,516.53 = 612.98/x
  3. Step 3: Cross multiply
    2,344.35x = 3,516.53 × 612.98
  4. Step 4: Simplify right side
    2,344.35x = 2,155,541.91
  5. Step 5: Solve for x
    x = 2,155,541.91/2,344.35
  6. Step 6: Final answer
    x = 919.46

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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.