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Finding the Fourth Proportional to 6,895.38, 9,526.77 and 4,808.82

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Solution

The fourth proportional to 6,895.38, 9,526.77 and 4,808.82 is: 6,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.38 : 9,526.77 = 4,808.82 : x
  2. Step 2: Convert to fraction form
    6,895.38/9,526.77 = 4,808.82/x
  3. Step 3: Cross multiply
    6,895.38x = 9,526.77 × 4,808.82
  4. Step 4: Simplify right side
    6,895.38x = 45,812,522.11
  5. Step 5: Solve for x
    x = 45,812,522.11/6,895.38
  6. Step 6: Final answer
    x = 6,643.94

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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.