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Finding the Fourth Proportional to 21,002.45, 31,698.15 and 21,002.45

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Solution

The fourth proportional to 21,002.45, 31,698.15 and 21,002.45 is: 31,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.45 : 31,698.15 = 21,002.45 : x
  2. Step 2: Convert to fraction form
    21,002.45/31,698.15 = 21,002.45/x
  3. Step 3: Cross multiply
    21,002.45x = 31,698.15 × 21,002.45
  4. Step 4: Simplify right side
    21,002.45x = 665,738,705.46
  5. Step 5: Solve for x
    x = 665,738,705.46/21,002.45
  6. Step 6: Final answer
    x = 31,698.15

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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.