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Finding the Fourth Proportional to 9,521.42, 13,157.62 and 7,159.46

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Solution

The fourth proportional to 9,521.42, 13,157.62 and 7,159.46 is: 9,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.42 : 13,157.62 = 7,159.46 : x
  2. Step 2: Convert to fraction form
    9,521.42/13,157.62 = 7,159.46/x
  3. Step 3: Cross multiply
    9,521.42x = 13,157.62 × 7,159.46
  4. Step 4: Simplify right side
    9,521.42x = 94,201,454.09
  5. Step 5: Solve for x
    x = 94,201,454.09/9,521.42
  6. Step 6: Final answer
    x = 9,893.63

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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.