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Finding the Fourth Proportional to 15,385.71, 23,083.94 and 4,857.36

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Solution

The fourth proportional to 15,385.71, 23,083.94 and 4,857.36 is: 7,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.71 : 23,083.94 = 4,857.36 : x
  2. Step 2: Convert to fraction form
    15,385.71/23,083.94 = 4,857.36/x
  3. Step 3: Cross multiply
    15,385.71x = 23,083.94 × 4,857.36
  4. Step 4: Simplify right side
    15,385.71x = 112,126,982.51
  5. Step 5: Solve for x
    x = 112,126,982.51/15,385.71
  6. Step 6: Final answer
    x = 7,287.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.