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Finding the Fourth Proportional to 9,657.32, 13,325.99 and 5,407.79

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Solution

The fourth proportional to 9,657.32, 13,325.99 and 5,407.79 is: 7,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.32 : 13,325.99 = 5,407.79 : x
  2. Step 2: Convert to fraction form
    9,657.32/13,325.99 = 5,407.79/x
  3. Step 3: Cross multiply
    9,657.32x = 13,325.99 × 5,407.79
  4. Step 4: Simplify right side
    9,657.32x = 72,064,107.42
  5. Step 5: Solve for x
    x = 72,064,107.42/9,657.32
  6. Step 6: Final answer
    x = 7,462.13

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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.