Home / 1,563.80-2,345.34-947.72

Finding the Fourth Proportional to 1,563.80, 2,345.34 and 947.72

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Solution

The fourth proportional to 1,563.80, 2,345.34 and 947.72 is: 1,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,345.34 = 947.72 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,345.34 = 947.72/x
  3. Step 3: Cross multiply
    1,563.80x = 2,345.34 × 947.72
  4. Step 4: Simplify right side
    1,563.80x = 2,222,725.62
  5. Step 5: Solve for x
    x = 2,222,725.62/1,563.80
  6. Step 6: Final answer
    x = 1,421.36

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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.