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Finding the Fourth Proportional to 10,246.40, 15,369.60 and 5,051.60

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Solution

The fourth proportional to 10,246.40, 15,369.60 and 5,051.60 is: 7,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.40 : 15,369.60 = 5,051.60 : x
  2. Step 2: Convert to fraction form
    10,246.40/15,369.60 = 5,051.60/x
  3. Step 3: Cross multiply
    10,246.40x = 15,369.60 × 5,051.60
  4. Step 4: Simplify right side
    10,246.40x = 77,641,071.36
  5. Step 5: Solve for x
    x = 77,641,071.36/10,246.40
  6. Step 6: Final answer
    x = 7,577.40

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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.