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Finding the Fourth Proportional to 1,809.72, 2,708.10 and 1,567.08

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Solution

The fourth proportional to 1,809.72, 2,708.10 and 1,567.08 is: 2,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.72 : 2,708.10 = 1,567.08 : x
  2. Step 2: Convert to fraction form
    1,809.72/2,708.10 = 1,567.08/x
  3. Step 3: Cross multiply
    1,809.72x = 2,708.10 × 1,567.08
  4. Step 4: Simplify right side
    1,809.72x = 4,243,809.35
  5. Step 5: Solve for x
    x = 4,243,809.35/1,809.72
  6. Step 6: Final answer
    x = 2,345.01

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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.