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Finding the Fourth Proportional to 22,603, 31,195.74 and 13,176.76

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Solution

The fourth proportional to 22,603, 31,195.74 and 13,176.76 is: 18,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603 : 31,195.74 = 13,176.76 : x
  2. Step 2: Convert to fraction form
    22,603/31,195.74 = 13,176.76/x
  3. Step 3: Cross multiply
    22,603x = 31,195.74 × 13,176.76
  4. Step 4: Simplify right side
    22,603x = 411,058,779.00
  5. Step 5: Solve for x
    x = 411,058,779.00/22,603
  6. Step 6: Final answer
    x = 18,186.03

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1.5x scale

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.