Home / 1,564.14-2,158.46-934.52

Finding the Fourth Proportional to 1,564.14, 2,158.46 and 934.52

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Solution

The fourth proportional to 1,564.14, 2,158.46 and 934.52 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.14 : 2,158.46 = 934.52 : x
  2. Step 2: Convert to fraction form
    1,564.14/2,158.46 = 934.52/x
  3. Step 3: Cross multiply
    1,564.14x = 2,158.46 × 934.52
  4. Step 4: Simplify right side
    1,564.14x = 2,017,108.57
  5. Step 5: Solve for x
    x = 2,017,108.57/1,564.14
  6. Step 6: Final answer
    x = 1,289.60

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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.