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Finding the Fourth Proportional to 7,085, 9,776.98 and 4,254.06

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Solution

The fourth proportional to 7,085, 9,776.98 and 4,254.06 is: 5,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085 : 9,776.98 = 4,254.06 : x
  2. Step 2: Convert to fraction form
    7,085/9,776.98 = 4,254.06/x
  3. Step 3: Cross multiply
    7,085x = 9,776.98 × 4,254.06
  4. Step 4: Simplify right side
    7,085x = 41,591,859.54
  5. Step 5: Solve for x
    x = 41,591,859.54/7,085
  6. Step 6: Final answer
    x = 5,870.41

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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.