Home / 1,569.34-2,165.64-1,009.83

Finding the Fourth Proportional to 1,569.34, 2,165.64 and 1,009.83

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Solution

The fourth proportional to 1,569.34, 2,165.64 and 1,009.83 is: 1,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.34 : 2,165.64 = 1,009.83 : x
  2. Step 2: Convert to fraction form
    1,569.34/2,165.64 = 1,009.83/x
  3. Step 3: Cross multiply
    1,569.34x = 2,165.64 × 1,009.83
  4. Step 4: Simplify right side
    1,569.34x = 2,186,932.58
  5. Step 5: Solve for x
    x = 2,186,932.58/1,569.34
  6. Step 6: Final answer
    x = 1,393.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.