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Finding the Fourth Proportional to 2,343.65, 3,515.45 and 612.27

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Solution

The fourth proportional to 2,343.65, 3,515.45 and 612.27 is: 918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.65 : 3,515.45 = 612.27 : x
  2. Step 2: Convert to fraction form
    2,343.65/3,515.45 = 612.27/x
  3. Step 3: Cross multiply
    2,343.65x = 3,515.45 × 612.27
  4. Step 4: Simplify right side
    2,343.65x = 2,152,401.51
  5. Step 5: Solve for x
    x = 2,152,401.51/2,343.65
  6. Step 6: Final answer
    x = 918.40

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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.