Home / 1,430.63-1,974.53-841.49

Finding the Fourth Proportional to 1,430.63, 1,974.53 and 841.49

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Solution

The fourth proportional to 1,430.63, 1,974.53 and 841.49 is: 1,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.63 : 1,974.53 = 841.49 : x
  2. Step 2: Convert to fraction form
    1,430.63/1,974.53 = 841.49/x
  3. Step 3: Cross multiply
    1,430.63x = 1,974.53 × 841.49
  4. Step 4: Simplify right side
    1,430.63x = 1,661,539.48
  5. Step 5: Solve for x
    x = 1,661,539.48/1,430.63
  6. Step 6: Final answer
    x = 1,161.41

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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.