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Finding the Fourth Proportional to 6,287.84, 8,674.72 and 4,295.20

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Solution

The fourth proportional to 6,287.84, 8,674.72 and 4,295.20 is: 5,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.84 : 8,674.72 = 4,295.20 : x
  2. Step 2: Convert to fraction form
    6,287.84/8,674.72 = 4,295.20/x
  3. Step 3: Cross multiply
    6,287.84x = 8,674.72 × 4,295.20
  4. Step 4: Simplify right side
    6,287.84x = 37,259,657.34
  5. Step 5: Solve for x
    x = 37,259,657.34/6,287.84
  6. Step 6: Final answer
    x = 5,925.67

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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.