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Finding the Fourth Proportional to 22,430.74, 30,954.27 and 12,358.93

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Solution

The fourth proportional to 22,430.74, 30,954.27 and 12,358.93 is: 17,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.74 : 30,954.27 = 12,358.93 : x
  2. Step 2: Convert to fraction form
    22,430.74/30,954.27 = 12,358.93/x
  3. Step 3: Cross multiply
    22,430.74x = 30,954.27 × 12,358.93
  4. Step 4: Simplify right side
    22,430.74x = 382,561,656.13
  5. Step 5: Solve for x
    x = 382,561,656.13/22,430.74
  6. Step 6: Final answer
    x = 17,055.24

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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.