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Finding the Fourth Proportional to 1,430.52, 1,974.01 and 841

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Solution

The fourth proportional to 1,430.52, 1,974.01 and 841 is: 1,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.52 : 1,974.01 = 841 : x
  2. Step 2: Convert to fraction form
    1,430.52/1,974.01 = 841/x
  3. Step 3: Cross multiply
    1,430.52x = 1,974.01 × 841
  4. Step 4: Simplify right side
    1,430.52x = 1,660,142.41
  5. Step 5: Solve for x
    x = 1,660,142.41/1,430.52
  6. Step 6: Final answer
    x = 1,160.52

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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.