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Finding the Fourth Proportional to 20,454, 30,501.98 and 20,267.16

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Solution

The fourth proportional to 20,454, 30,501.98 and 20,267.16 is: 30,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 30,501.98 = 20,267.16 : x
  2. Step 2: Convert to fraction form
    20,454/30,501.98 = 20,267.16/x
  3. Step 3: Cross multiply
    20,454x = 30,501.98 × 20,267.16
  4. Step 4: Simplify right side
    20,454x = 618,188,508.98
  5. Step 5: Solve for x
    x = 618,188,508.98/20,454
  6. Step 6: Final answer
    x = 30,223.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.