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Finding the Fourth Proportional to 7,896.84, 10,898.10 and 4,709.30

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Solution

The fourth proportional to 7,896.84, 10,898.10 and 4,709.30 is: 6,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.84 : 10,898.10 = 4,709.30 : x
  2. Step 2: Convert to fraction form
    7,896.84/10,898.10 = 4,709.30/x
  3. Step 3: Cross multiply
    7,896.84x = 10,898.10 × 4,709.30
  4. Step 4: Simplify right side
    7,896.84x = 51,322,367.84
  5. Step 5: Solve for x
    x = 51,322,367.84/7,896.84
  6. Step 6: Final answer
    x = 6,499.10

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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.