Home / 1,561.17-2,345.14-945.16

Finding the Fourth Proportional to 1,561.17, 2,345.14 and 945.16

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Solution

The fourth proportional to 1,561.17, 2,345.14 and 945.16 is: 1,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.17 : 2,345.14 = 945.16 : x
  2. Step 2: Convert to fraction form
    1,561.17/2,345.14 = 945.16/x
  3. Step 3: Cross multiply
    1,561.17x = 2,345.14 × 945.16
  4. Step 4: Simplify right side
    1,561.17x = 2,216,532.52
  5. Step 5: Solve for x
    x = 2,216,532.52/1,561.17
  6. Step 6: Final answer
    x = 1,419.79

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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.