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Finding the Fourth Proportional to 22,983.84, 31,717.64 and 13,430.30

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Solution

The fourth proportional to 22,983.84, 31,717.64 and 13,430.30 is: 18,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.84 : 31,717.64 = 13,430.30 : x
  2. Step 2: Convert to fraction form
    22,983.84/31,717.64 = 13,430.30/x
  3. Step 3: Cross multiply
    22,983.84x = 31,717.64 × 13,430.30
  4. Step 4: Simplify right side
    22,983.84x = 425,977,295.48
  5. Step 5: Solve for x
    x = 425,977,295.48/22,983.84
  6. Step 6: Final answer
    x = 18,533.77

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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.