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Finding the Fourth Proportional to 10,133.94, 14,010.93 and 7,783.86

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Solution

The fourth proportional to 10,133.94, 14,010.93 and 7,783.86 is: 10,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.94 : 14,010.93 = 7,783.86 : x
  2. Step 2: Convert to fraction form
    10,133.94/14,010.93 = 7,783.86/x
  3. Step 3: Cross multiply
    10,133.94x = 14,010.93 × 7,783.86
  4. Step 4: Simplify right side
    10,133.94x = 109,059,117.59
  5. Step 5: Solve for x
    x = 109,059,117.59/10,133.94
  6. Step 6: Final answer
    x = 10,761.77

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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.