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Finding the Fourth Proportional to 22,383, 30,889.08 and 13,430.88

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Solution

The fourth proportional to 22,383, 30,889.08 and 13,430.88 is: 18,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383 : 30,889.08 = 13,430.88 : x
  2. Step 2: Convert to fraction form
    22,383/30,889.08 = 13,430.88/x
  3. Step 3: Cross multiply
    22,383x = 30,889.08 × 13,430.88
  4. Step 4: Simplify right side
    22,383x = 414,867,526.79
  5. Step 5: Solve for x
    x = 414,867,526.79/22,383
  6. Step 6: Final answer
    x = 18,534.94

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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.