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Finding the Fourth Proportional to 5,074.92, 7,615.74 and 1,788

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Solution

The fourth proportional to 5,074.92, 7,615.74 and 1,788 is: 2,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.92 : 7,615.74 = 1,788 : x
  2. Step 2: Convert to fraction form
    5,074.92/7,615.74 = 1,788/x
  3. Step 3: Cross multiply
    5,074.92x = 7,615.74 × 1,788
  4. Step 4: Simplify right side
    5,074.92x = 13,616,943.12
  5. Step 5: Solve for x
    x = 13,616,943.12/5,074.92
  6. Step 6: Final answer
    x = 2,683.18

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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.