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Finding the Fourth Proportional to 22,861.16, 31,558.74 and 13,430.48

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Solution

The fourth proportional to 22,861.16, 31,558.74 and 13,430.48 is: 18,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.16 : 31,558.74 = 13,430.48 : x
  2. Step 2: Convert to fraction form
    22,861.16/31,558.74 = 13,430.48/x
  3. Step 3: Cross multiply
    22,861.16x = 31,558.74 × 13,430.48
  4. Step 4: Simplify right side
    22,861.16x = 423,849,026.40
  5. Step 5: Solve for x
    x = 423,849,026.40/22,861.16
  6. Step 6: Final answer
    x = 18,540.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.