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Finding the Fourth Proportional to 4,918.43, 7,376.74 and 1,407.69

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Solution

The fourth proportional to 4,918.43, 7,376.74 and 1,407.69 is: 2,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.43 : 7,376.74 = 1,407.69 : x
  2. Step 2: Convert to fraction form
    4,918.43/7,376.74 = 1,407.69/x
  3. Step 3: Cross multiply
    4,918.43x = 7,376.74 × 1,407.69
  4. Step 4: Simplify right side
    4,918.43x = 10,384,159.61
  5. Step 5: Solve for x
    x = 10,384,159.61/4,918.43
  6. Step 6: Final answer
    x = 2,111.27

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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.