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Finding the Fourth Proportional to 1,036.13, 1,430.16 and 826.23

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Solution

The fourth proportional to 1,036.13, 1,430.16 and 826.23 is: 1,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.13 : 1,430.16 = 826.23 : x
  2. Step 2: Convert to fraction form
    1,036.13/1,430.16 = 826.23/x
  3. Step 3: Cross multiply
    1,036.13x = 1,430.16 × 826.23
  4. Step 4: Simplify right side
    1,036.13x = 1,181,641.10
  5. Step 5: Solve for x
    x = 1,181,641.10/1,036.13
  6. Step 6: Final answer
    x = 1,140.44

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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.