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Finding the Fourth Proportional to 7,100.68, 9,808.50 and 6,438.28

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Solution

The fourth proportional to 7,100.68, 9,808.50 and 6,438.28 is: 8,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.68 : 9,808.50 = 6,438.28 : x
  2. Step 2: Convert to fraction form
    7,100.68/9,808.50 = 6,438.28/x
  3. Step 3: Cross multiply
    7,100.68x = 9,808.50 × 6,438.28
  4. Step 4: Simplify right side
    7,100.68x = 63,149,869.38
  5. Step 5: Solve for x
    x = 63,149,869.38/7,100.68
  6. Step 6: Final answer
    x = 8,893.50

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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.