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Finding the Fourth Proportional to 7,078.49, 10,617.68 and 1,813.49

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Solution

The fourth proportional to 7,078.49, 10,617.68 and 1,813.49 is: 2,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.49 : 10,617.68 = 1,813.49 : x
  2. Step 2: Convert to fraction form
    7,078.49/10,617.68 = 1,813.49/x
  3. Step 3: Cross multiply
    7,078.49x = 10,617.68 × 1,813.49
  4. Step 4: Simplify right side
    7,078.49x = 19,255,056.50
  5. Step 5: Solve for x
    x = 19,255,056.50/7,078.49
  6. Step 6: Final answer
    x = 2,720.22

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1.5x scale

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.