Home / 1,564.38-2,159.09-934.71

Finding the Fourth Proportional to 1,564.38, 2,159.09 and 934.71

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Solution

The fourth proportional to 1,564.38, 2,159.09 and 934.71 is: 1,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.38 : 2,159.09 = 934.71 : x
  2. Step 2: Convert to fraction form
    1,564.38/2,159.09 = 934.71/x
  3. Step 3: Cross multiply
    1,564.38x = 2,159.09 × 934.71
  4. Step 4: Simplify right side
    1,564.38x = 2,018,113.75
  5. Step 5: Solve for x
    x = 2,018,113.75/1,564.38
  6. Step 6: Final answer
    x = 1,290.04

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1.5x scale

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.