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Finding the Fourth Proportional to 5,207.71, 7,806.75 and 1,918.30

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Solution

The fourth proportional to 5,207.71, 7,806.75 and 1,918.30 is: 2,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.71 : 7,806.75 = 1,918.30 : x
  2. Step 2: Convert to fraction form
    5,207.71/7,806.75 = 1,918.30/x
  3. Step 3: Cross multiply
    5,207.71x = 7,806.75 × 1,918.30
  4. Step 4: Simplify right side
    5,207.71x = 14,975,688.53
  5. Step 5: Solve for x
    x = 14,975,688.53/5,207.71
  6. Step 6: Final answer
    x = 2,875.68

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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.