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Finding the Fourth Proportional to 5,126.10, 7,689.15 and 5,126.10

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Solution

The fourth proportional to 5,126.10, 7,689.15 and 5,126.10 is: 7,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.10 : 7,689.15 = 5,126.10 : x
  2. Step 2: Convert to fraction form
    5,126.10/7,689.15 = 5,126.10/x
  3. Step 3: Cross multiply
    5,126.10x = 7,689.15 × 5,126.10
  4. Step 4: Simplify right side
    5,126.10x = 39,415,351.82
  5. Step 5: Solve for x
    x = 39,415,351.82/5,126.10
  6. Step 6: Final answer
    x = 7,689.15

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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.