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Finding the Fourth Proportional to 6,407.50, 9,602.88 and 3,284.86

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Solution

The fourth proportional to 6,407.50, 9,602.88 and 3,284.86 is: 4,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.50 : 9,602.88 = 3,284.86 : x
  2. Step 2: Convert to fraction form
    6,407.50/9,602.88 = 3,284.86/x
  3. Step 3: Cross multiply
    6,407.50x = 9,602.88 × 3,284.86
  4. Step 4: Simplify right side
    6,407.50x = 31,544,116.40
  5. Step 5: Solve for x
    x = 31,544,116.40/6,407.50
  6. Step 6: Final answer
    x = 4,923.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.