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Finding the Fourth Proportional to 1,558.91, 2,151.26 and 886.67

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Solution

The fourth proportional to 1,558.91, 2,151.26 and 886.67 is: 1,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.91 : 2,151.26 = 886.67 : x
  2. Step 2: Convert to fraction form
    1,558.91/2,151.26 = 886.67/x
  3. Step 3: Cross multiply
    1,558.91x = 2,151.26 × 886.67
  4. Step 4: Simplify right side
    1,558.91x = 1,907,442.51
  5. Step 5: Solve for x
    x = 1,907,442.51/1,558.91
  6. Step 6: Final answer
    x = 1,223.57

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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.