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Finding the Fourth Proportional to 20,783.40, 31,168 and 5,988.34

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Solution

The fourth proportional to 20,783.40, 31,168 and 5,988.34 is: 8,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.40 : 31,168 = 5,988.34 : x
  2. Step 2: Convert to fraction form
    20,783.40/31,168 = 5,988.34/x
  3. Step 3: Cross multiply
    20,783.40x = 31,168 × 5,988.34
  4. Step 4: Simplify right side
    20,783.40x = 186,644,581.12
  5. Step 5: Solve for x
    x = 186,644,581.12/20,783.40
  6. Step 6: Final answer
    x = 8,980.46

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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.