Home / 1,569.12-2,164.08-1,415.52

Finding the Fourth Proportional to 1,569.12, 2,164.08 and 1,415.52

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Solution

The fourth proportional to 1,569.12, 2,164.08 and 1,415.52 is: 1,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.12 : 2,164.08 = 1,415.52 : x
  2. Step 2: Convert to fraction form
    1,569.12/2,164.08 = 1,415.52/x
  3. Step 3: Cross multiply
    1,569.12x = 2,164.08 × 1,415.52
  4. Step 4: Simplify right side
    1,569.12x = 3,063,298.52
  5. Step 5: Solve for x
    x = 3,063,298.52/1,569.12
  6. Step 6: Final answer
    x = 1,952.24

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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.