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Finding the Fourth Proportional to 9,689.64, 13,371.30 and 5,710.92

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Solution

The fourth proportional to 9,689.64, 13,371.30 and 5,710.92 is: 7,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.64 : 13,371.30 = 5,710.92 : x
  2. Step 2: Convert to fraction form
    9,689.64/13,371.30 = 5,710.92/x
  3. Step 3: Cross multiply
    9,689.64x = 13,371.30 × 5,710.92
  4. Step 4: Simplify right side
    9,689.64x = 76,362,424.60
  5. Step 5: Solve for x
    x = 76,362,424.60/9,689.64
  6. Step 6: Final answer
    x = 7,880.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.