Home / 1,564.65-2,158.26-934.74

Finding the Fourth Proportional to 1,564.65, 2,158.26 and 934.74

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Solution

The fourth proportional to 1,564.65, 2,158.26 and 934.74 is: 1,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.65 : 2,158.26 = 934.74 : x
  2. Step 2: Convert to fraction form
    1,564.65/2,158.26 = 934.74/x
  3. Step 3: Cross multiply
    1,564.65x = 2,158.26 × 934.74
  4. Step 4: Simplify right side
    1,564.65x = 2,017,407.28
  5. Step 5: Solve for x
    x = 2,017,407.28/1,564.65
  6. Step 6: Final answer
    x = 1,289.37

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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.