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Finding the Fourth Proportional to 6,989.66, 9,647.78 and 4,159.02

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Solution

The fourth proportional to 6,989.66, 9,647.78 and 4,159.02 is: 5,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.66 : 9,647.78 = 4,159.02 : x
  2. Step 2: Convert to fraction form
    6,989.66/9,647.78 = 4,159.02/x
  3. Step 3: Cross multiply
    6,989.66x = 9,647.78 × 4,159.02
  4. Step 4: Simplify right side
    6,989.66x = 40,125,309.98
  5. Step 5: Solve for x
    x = 40,125,309.98/6,989.66
  6. Step 6: Final answer
    x = 5,740.67

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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.