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Finding the Fourth Proportional to 13,207.70, 19,812.78 and 4,776.32

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Solution

The fourth proportional to 13,207.70, 19,812.78 and 4,776.32 is: 7,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.70 : 19,812.78 = 4,776.32 : x
  2. Step 2: Convert to fraction form
    13,207.70/19,812.78 = 4,776.32/x
  3. Step 3: Cross multiply
    13,207.70x = 19,812.78 × 4,776.32
  4. Step 4: Simplify right side
    13,207.70x = 94,632,102.02
  5. Step 5: Solve for x
    x = 94,632,102.02/13,207.70
  6. Step 6: Final answer
    x = 7,164.92

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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.