Home / 3,538.47-5,307.69-941.40

Finding the Fourth Proportional to 3,538.47, 5,307.69 and 941.40

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Solution

The fourth proportional to 3,538.47, 5,307.69 and 941.40 is: 1,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.47 : 5,307.69 = 941.40 : x
  2. Step 2: Convert to fraction form
    3,538.47/5,307.69 = 941.40/x
  3. Step 3: Cross multiply
    3,538.47x = 5,307.69 × 941.40
  4. Step 4: Simplify right side
    3,538.47x = 4,996,659.37
  5. Step 5: Solve for x
    x = 4,996,659.37/3,538.47
  6. Step 6: Final answer
    x = 1,412.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.