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Finding the Fourth Proportional to 9,807.12, 13,533.64 and 5,615.12

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Solution

The fourth proportional to 9,807.12, 13,533.64 and 5,615.12 is: 7,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.12 : 13,533.64 = 5,615.12 : x
  2. Step 2: Convert to fraction form
    9,807.12/13,533.64 = 5,615.12/x
  3. Step 3: Cross multiply
    9,807.12x = 13,533.64 × 5,615.12
  4. Step 4: Simplify right side
    9,807.12x = 75,993,012.64
  5. Step 5: Solve for x
    x = 75,993,012.64/9,807.12
  6. Step 6: Final answer
    x = 7,748.76

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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.