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Finding the Fourth Proportional to 7,808.65, 10,776.02 and 4,271.78

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Solution

The fourth proportional to 7,808.65, 10,776.02 and 4,271.78 is: 5,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.65 : 10,776.02 = 4,271.78 : x
  2. Step 2: Convert to fraction form
    7,808.65/10,776.02 = 4,271.78/x
  3. Step 3: Cross multiply
    7,808.65x = 10,776.02 × 4,271.78
  4. Step 4: Simplify right side
    7,808.65x = 46,032,786.72
  5. Step 5: Solve for x
    x = 46,032,786.72/7,808.65
  6. Step 6: Final answer
    x = 5,895.10

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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.