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Finding the Fourth Proportional to 5,048.70, 7,570.15 and 2,129.05

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Solution

The fourth proportional to 5,048.70, 7,570.15 and 2,129.05 is: 3,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.70 : 7,570.15 = 2,129.05 : x
  2. Step 2: Convert to fraction form
    5,048.70/7,570.15 = 2,129.05/x
  3. Step 3: Cross multiply
    5,048.70x = 7,570.15 × 2,129.05
  4. Step 4: Simplify right side
    5,048.70x = 16,117,227.86
  5. Step 5: Solve for x
    x = 16,117,227.86/5,048.70
  6. Step 6: Final answer
    x = 3,192.35

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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.