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Finding the Fourth Proportional to 6,521.36, 9,782.14 and 1,591.08

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Solution

The fourth proportional to 6,521.36, 9,782.14 and 1,591.08 is: 2,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.36 : 9,782.14 = 1,591.08 : x
  2. Step 2: Convert to fraction form
    6,521.36/9,782.14 = 1,591.08/x
  3. Step 3: Cross multiply
    6,521.36x = 9,782.14 × 1,591.08
  4. Step 4: Simplify right side
    6,521.36x = 15,564,167.31
  5. Step 5: Solve for x
    x = 15,564,167.31/6,521.36
  6. Step 6: Final answer
    x = 2,386.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.