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Finding the Fourth Proportional to 22,854.83, 31,540.98 and 12,783.70

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Solution

The fourth proportional to 22,854.83, 31,540.98 and 12,783.70 is: 17,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.83 : 31,540.98 = 12,783.70 : x
  2. Step 2: Convert to fraction form
    22,854.83/31,540.98 = 12,783.70/x
  3. Step 3: Cross multiply
    22,854.83x = 31,540.98 × 12,783.70
  4. Step 4: Simplify right side
    22,854.83x = 403,210,406.71
  5. Step 5: Solve for x
    x = 403,210,406.71/22,854.83
  6. Step 6: Final answer
    x = 17,642.24

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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.