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Finding the Fourth Proportional to 4,971.49, 7,456.77 and 1,684.20

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Solution

The fourth proportional to 4,971.49, 7,456.77 and 1,684.20 is: 2,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.49 : 7,456.77 = 1,684.20 : x
  2. Step 2: Convert to fraction form
    4,971.49/7,456.77 = 1,684.20/x
  3. Step 3: Cross multiply
    4,971.49x = 7,456.77 × 1,684.20
  4. Step 4: Simplify right side
    4,971.49x = 12,558,692.03
  5. Step 5: Solve for x
    x = 12,558,692.03/4,971.49
  6. Step 6: Final answer
    x = 2,526.14

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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.