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Finding the Fourth Proportional to 9,507.52, 13,120.16 and 5,316.16

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Solution

The fourth proportional to 9,507.52, 13,120.16 and 5,316.16 is: 7,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.52 : 13,120.16 = 5,316.16 : x
  2. Step 2: Convert to fraction form
    9,507.52/13,120.16 = 5,316.16/x
  3. Step 3: Cross multiply
    9,507.52x = 13,120.16 × 5,316.16
  4. Step 4: Simplify right side
    9,507.52x = 69,748,869.79
  5. Step 5: Solve for x
    x = 69,748,869.79/9,507.52
  6. Step 6: Final answer
    x = 7,336.18

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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.