Home / 1,430.87-1,974.98-841.59

Finding the Fourth Proportional to 1,430.87, 1,974.98 and 841.59

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Solution

The fourth proportional to 1,430.87, 1,974.98 and 841.59 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.87 : 1,974.98 = 841.59 : x
  2. Step 2: Convert to fraction form
    1,430.87/1,974.98 = 841.59/x
  3. Step 3: Cross multiply
    1,430.87x = 1,974.98 × 841.59
  4. Step 4: Simplify right side
    1,430.87x = 1,662,125.52
  5. Step 5: Solve for x
    x = 1,662,125.52/1,430.87
  6. Step 6: Final answer
    x = 1,161.62

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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.