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Finding the Fourth Proportional to 15,707.42, 23,564.02 and 5,178.07

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Solution

The fourth proportional to 15,707.42, 23,564.02 and 5,178.07 is: 7,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.42 : 23,564.02 = 5,178.07 : x
  2. Step 2: Convert to fraction form
    15,707.42/23,564.02 = 5,178.07/x
  3. Step 3: Cross multiply
    15,707.42x = 23,564.02 × 5,178.07
  4. Step 4: Simplify right side
    15,707.42x = 122,016,145.04
  5. Step 5: Solve for x
    x = 122,016,145.04/15,707.42
  6. Step 6: Final answer
    x = 7,768.06

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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.