Home / 1,430.58-1,974.06-841.26

Finding the Fourth Proportional to 1,430.58, 1,974.06 and 841.26

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Solution

The fourth proportional to 1,430.58, 1,974.06 and 841.26 is: 1,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.58 : 1,974.06 = 841.26 : x
  2. Step 2: Convert to fraction form
    1,430.58/1,974.06 = 841.26/x
  3. Step 3: Cross multiply
    1,430.58x = 1,974.06 × 841.26
  4. Step 4: Simplify right side
    1,430.58x = 1,660,697.72
  5. Step 5: Solve for x
    x = 1,660,697.72/1,430.58
  6. Step 6: Final answer
    x = 1,160.86

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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.