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Finding the Fourth Proportional to 16,420.41, 24,607.49 and 9,389.88

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Solution

The fourth proportional to 16,420.41, 24,607.49 and 9,389.88 is: 14,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.41 : 24,607.49 = 9,389.88 : x
  2. Step 2: Convert to fraction form
    16,420.41/24,607.49 = 9,389.88/x
  3. Step 3: Cross multiply
    16,420.41x = 24,607.49 × 9,389.88
  4. Step 4: Simplify right side
    16,420.41x = 231,061,331.25
  5. Step 5: Solve for x
    x = 231,061,331.25/16,420.41
  6. Step 6: Final answer
    x = 14,071.59

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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.