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Finding the Fourth Proportional to 5,602.64, 8,405.04 and 1,905.50

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Solution

The fourth proportional to 5,602.64, 8,405.04 and 1,905.50 is: 2,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.64 : 8,405.04 = 1,905.50 : x
  2. Step 2: Convert to fraction form
    5,602.64/8,405.04 = 1,905.50/x
  3. Step 3: Cross multiply
    5,602.64x = 8,405.04 × 1,905.50
  4. Step 4: Simplify right side
    5,602.64x = 16,015,803.72
  5. Step 5: Solve for x
    x = 16,015,803.72/5,602.64
  6. Step 6: Final answer
    x = 2,858.62

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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.