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Finding the Fourth Proportional to 1,138.13, 1,572.91 and 858.26

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Solution

The fourth proportional to 1,138.13, 1,572.91 and 858.26 is: 1,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.13 : 1,572.91 = 858.26 : x
  2. Step 2: Convert to fraction form
    1,138.13/1,572.91 = 858.26/x
  3. Step 3: Cross multiply
    1,138.13x = 1,572.91 × 858.26
  4. Step 4: Simplify right side
    1,138.13x = 1,349,965.74
  5. Step 5: Solve for x
    x = 1,349,965.74/1,138.13
  6. Step 6: Final answer
    x = 1,186.13

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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.