Home / 1,559.17-2,342.14-943.16

Finding the Fourth Proportional to 1,559.17, 2,342.14 and 943.16

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Solution

The fourth proportional to 1,559.17, 2,342.14 and 943.16 is: 1,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.17 : 2,342.14 = 943.16 : x
  2. Step 2: Convert to fraction form
    1,559.17/2,342.14 = 943.16/x
  3. Step 3: Cross multiply
    1,559.17x = 2,342.14 × 943.16
  4. Step 4: Simplify right side
    1,559.17x = 2,209,012.76
  5. Step 5: Solve for x
    x = 2,209,012.76/1,559.17
  6. Step 6: Final answer
    x = 1,416.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.