Home / 1,569.24-2,165.52-861.06

Finding the Fourth Proportional to 1,569.24, 2,165.52 and 861.06

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Solution

The fourth proportional to 1,569.24, 2,165.52 and 861.06 is: 1,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.24 : 2,165.52 = 861.06 : x
  2. Step 2: Convert to fraction form
    1,569.24/2,165.52 = 861.06/x
  3. Step 3: Cross multiply
    1,569.24x = 2,165.52 × 861.06
  4. Step 4: Simplify right side
    1,569.24x = 1,864,642.65
  5. Step 5: Solve for x
    x = 1,864,642.65/1,569.24
  6. Step 6: Final answer
    x = 1,188.25

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1.5x scale

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.