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Finding the Fourth Proportional to 20,909.36, 31,368.36 and 7,058

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Solution

The fourth proportional to 20,909.36, 31,368.36 and 7,058 is: 10,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.36 : 31,368.36 = 7,058 : x
  2. Step 2: Convert to fraction form
    20,909.36/31,368.36 = 7,058/x
  3. Step 3: Cross multiply
    20,909.36x = 31,368.36 × 7,058
  4. Step 4: Simplify right side
    20,909.36x = 221,397,884.88
  5. Step 5: Solve for x
    x = 221,397,884.88/20,909.36
  6. Step 6: Final answer
    x = 10,588.46

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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.