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Finding the Fourth Proportional to 7,808.50, 10,775.73 and 4,271.75

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Solution

The fourth proportional to 7,808.50, 10,775.73 and 4,271.75 is: 5,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.50 : 10,775.73 = 4,271.75 : x
  2. Step 2: Convert to fraction form
    7,808.50/10,775.73 = 4,271.75/x
  3. Step 3: Cross multiply
    7,808.50x = 10,775.73 × 4,271.75
  4. Step 4: Simplify right side
    7,808.50x = 46,031,224.63
  5. Step 5: Solve for x
    x = 46,031,224.63/7,808.50
  6. Step 6: Final answer
    x = 5,895.02

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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.