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Finding the Fourth Proportional to 3,538.56, 5,307.78 and 1,230

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Solution

The fourth proportional to 3,538.56, 5,307.78 and 1,230 is: 1,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.56 : 5,307.78 = 1,230 : x
  2. Step 2: Convert to fraction form
    3,538.56/5,307.78 = 1,230/x
  3. Step 3: Cross multiply
    3,538.56x = 5,307.78 × 1,230
  4. Step 4: Simplify right side
    3,538.56x = 6,528,569.40
  5. Step 5: Solve for x
    x = 6,528,569.40/3,538.56
  6. Step 6: Final answer
    x = 1,844.98

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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.