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Finding the Fourth Proportional to 15,783.95, 23,661.14 and 7,881.59

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Solution

The fourth proportional to 15,783.95, 23,661.14 and 7,881.59 is: 11,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.95 : 23,661.14 = 7,881.59 : x
  2. Step 2: Convert to fraction form
    15,783.95/23,661.14 = 7,881.59/x
  3. Step 3: Cross multiply
    15,783.95x = 23,661.14 × 7,881.59
  4. Step 4: Simplify right side
    15,783.95x = 186,487,246.70
  5. Step 5: Solve for x
    x = 186,487,246.70/15,783.95
  6. Step 6: Final answer
    x = 11,815.00

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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.