Home / 1,205.60-1,809.42-947.18

Finding the Fourth Proportional to 1,205.60, 1,809.42 and 947.18

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Solution

The fourth proportional to 1,205.60, 1,809.42 and 947.18 is: 1,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.60 : 1,809.42 = 947.18 : x
  2. Step 2: Convert to fraction form
    1,205.60/1,809.42 = 947.18/x
  3. Step 3: Cross multiply
    1,205.60x = 1,809.42 × 947.18
  4. Step 4: Simplify right side
    1,205.60x = 1,713,846.44
  5. Step 5: Solve for x
    x = 1,713,846.44/1,205.60
  6. Step 6: Final answer
    x = 1,421.57

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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.