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Finding the Fourth Proportional to 35,312.88, 48,726.36 and 20,406

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Solution

The fourth proportional to 35,312.88, 48,726.36 and 20,406 is: 28,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,312.88 : 48,726.36 = 20,406 : x
  2. Step 2: Convert to fraction form
    35,312.88/48,726.36 = 20,406/x
  3. Step 3: Cross multiply
    35,312.88x = 48,726.36 × 20,406
  4. Step 4: Simplify right side
    35,312.88x = 994,310,102.16
  5. Step 5: Solve for x
    x = 994,310,102.16/35,312.88
  6. Step 6: Final answer
    x = 28,157.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.