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Finding the Fourth Proportional to 6,448.70, 8,899.08 and 4,206.32

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Solution

The fourth proportional to 6,448.70, 8,899.08 and 4,206.32 is: 5,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.70 : 8,899.08 = 4,206.32 : x
  2. Step 2: Convert to fraction form
    6,448.70/8,899.08 = 4,206.32/x
  3. Step 3: Cross multiply
    6,448.70x = 8,899.08 × 4,206.32
  4. Step 4: Simplify right side
    6,448.70x = 37,432,378.19
  5. Step 5: Solve for x
    x = 37,432,378.19/6,448.70
  6. Step 6: Final answer
    x = 5,804.64

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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.