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Finding the Fourth Proportional to 6,470.84, 8,928.60 and 3,637.40

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Solution

The fourth proportional to 6,470.84, 8,928.60 and 3,637.40 is: 5,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.84 : 8,928.60 = 3,637.40 : x
  2. Step 2: Convert to fraction form
    6,470.84/8,928.60 = 3,637.40/x
  3. Step 3: Cross multiply
    6,470.84x = 8,928.60 × 3,637.40
  4. Step 4: Simplify right side
    6,470.84x = 32,476,889.64
  5. Step 5: Solve for x
    x = 32,476,889.64/6,470.84
  6. Step 6: Final answer
    x = 5,018.96

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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.