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Finding the Fourth Proportional to 3,570.05, 5,353.05 and 1,619.84

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Solution

The fourth proportional to 3,570.05, 5,353.05 and 1,619.84 is: 2,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.05 : 5,353.05 = 1,619.84 : x
  2. Step 2: Convert to fraction form
    3,570.05/5,353.05 = 1,619.84/x
  3. Step 3: Cross multiply
    3,570.05x = 5,353.05 × 1,619.84
  4. Step 4: Simplify right side
    3,570.05x = 8,671,084.51
  5. Step 5: Solve for x
    x = 8,671,084.51/3,570.05
  6. Step 6: Final answer
    x = 2,428.84

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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.