Home / 1,680.17-2,318.63-934.16

Finding the Fourth Proportional to 1,680.17, 2,318.63 and 934.16

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Solution

The fourth proportional to 1,680.17, 2,318.63 and 934.16 is: 1,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.17 : 2,318.63 = 934.16 : x
  2. Step 2: Convert to fraction form
    1,680.17/2,318.63 = 934.16/x
  3. Step 3: Cross multiply
    1,680.17x = 2,318.63 × 934.16
  4. Step 4: Simplify right side
    1,680.17x = 2,165,955.14
  5. Step 5: Solve for x
    x = 2,165,955.14/1,680.17
  6. Step 6: Final answer
    x = 1,289.13

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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.