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Finding the Fourth Proportional to 5,077.49, 7,655.41 and 5,045.90

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Solution

The fourth proportional to 5,077.49, 7,655.41 and 5,045.90 is: 7,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.49 : 7,655.41 = 5,045.90 : x
  2. Step 2: Convert to fraction form
    5,077.49/7,655.41 = 5,045.90/x
  3. Step 3: Cross multiply
    5,077.49x = 7,655.41 × 5,045.90
  4. Step 4: Simplify right side
    5,077.49x = 38,628,401.35
  5. Step 5: Solve for x
    x = 38,628,401.35/5,077.49
  6. Step 6: Final answer
    x = 7,607.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.