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Finding the Fourth Proportional to 14,115.06, 19,478.07 and 7,827.30

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Solution

The fourth proportional to 14,115.06, 19,478.07 and 7,827.30 is: 10,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.06 : 19,478.07 = 7,827.30 : x
  2. Step 2: Convert to fraction form
    14,115.06/19,478.07 = 7,827.30/x
  3. Step 3: Cross multiply
    14,115.06x = 19,478.07 × 7,827.30
  4. Step 4: Simplify right side
    14,115.06x = 152,460,697.31
  5. Step 5: Solve for x
    x = 152,460,697.31/14,115.06
  6. Step 6: Final answer
    x = 10,801.28

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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.