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Finding the Fourth Proportional to 1,139.06, 1,567.65 and 938.28

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Solution

The fourth proportional to 1,139.06, 1,567.65 and 938.28 is: 1,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.06 : 1,567.65 = 938.28 : x
  2. Step 2: Convert to fraction form
    1,139.06/1,567.65 = 938.28/x
  3. Step 3: Cross multiply
    1,139.06x = 1,567.65 × 938.28
  4. Step 4: Simplify right side
    1,139.06x = 1,470,904.04
  5. Step 5: Solve for x
    x = 1,470,904.04/1,139.06
  6. Step 6: Final answer
    x = 1,291.33

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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.