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Finding the Fourth Proportional to 14,263.86, 19,688.70 and 8,294.40

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Solution

The fourth proportional to 14,263.86, 19,688.70 and 8,294.40 is: 11,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.86 : 19,688.70 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    14,263.86/19,688.70 = 8,294.40/x
  3. Step 3: Cross multiply
    14,263.86x = 19,688.70 × 8,294.40
  4. Step 4: Simplify right side
    14,263.86x = 163,305,953.28
  5. Step 5: Solve for x
    x = 163,305,953.28/14,263.86
  6. Step 6: Final answer
    x = 11,448.93

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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.