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Finding the Fourth Proportional to 9,708.42, 13,393.80 and 5,458.51

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Solution

The fourth proportional to 9,708.42, 13,393.80 and 5,458.51 is: 7,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.42 : 13,393.80 = 5,458.51 : x
  2. Step 2: Convert to fraction form
    9,708.42/13,393.80 = 5,458.51/x
  3. Step 3: Cross multiply
    9,708.42x = 13,393.80 × 5,458.51
  4. Step 4: Simplify right side
    9,708.42x = 73,110,191.24
  5. Step 5: Solve for x
    x = 73,110,191.24/9,708.42
  6. Step 6: Final answer
    x = 7,530.60

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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.