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Finding the Fourth Proportional to 7,135, 9,846.30 and 4,651

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Solution

The fourth proportional to 7,135, 9,846.30 and 4,651 is: 6,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135 : 9,846.30 = 4,651 : x
  2. Step 2: Convert to fraction form
    7,135/9,846.30 = 4,651/x
  3. Step 3: Cross multiply
    7,135x = 9,846.30 × 4,651
  4. Step 4: Simplify right side
    7,135x = 45,795,141.30
  5. Step 5: Solve for x
    x = 45,795,141.30/7,135
  6. Step 6: Final answer
    x = 6,418.38

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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.