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Finding the Fourth Proportional to 1,127.04, 1,556.82 and 941.16

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Solution

The fourth proportional to 1,127.04, 1,556.82 and 941.16 is: 1,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.04 : 1,556.82 = 941.16 : x
  2. Step 2: Convert to fraction form
    1,127.04/1,556.82 = 941.16/x
  3. Step 3: Cross multiply
    1,127.04x = 1,556.82 × 941.16
  4. Step 4: Simplify right side
    1,127.04x = 1,465,216.71
  5. Step 5: Solve for x
    x = 1,465,216.71/1,127.04
  6. Step 6: Final answer
    x = 1,300.06

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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.