Home / 1,564.90-2,159.29-935.68

Finding the Fourth Proportional to 1,564.90, 2,159.29 and 935.68

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Solution

The fourth proportional to 1,564.90, 2,159.29 and 935.68 is: 1,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.90 : 2,159.29 = 935.68 : x
  2. Step 2: Convert to fraction form
    1,564.90/2,159.29 = 935.68/x
  3. Step 3: Cross multiply
    1,564.90x = 2,159.29 × 935.68
  4. Step 4: Simplify right side
    1,564.90x = 2,020,404.47
  5. Step 5: Solve for x
    x = 2,020,404.47/1,564.90
  6. Step 6: Final answer
    x = 1,291.08

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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.