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Finding the Fourth Proportional to 3,907.52, 5,860.80 and 985.64

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Solution

The fourth proportional to 3,907.52, 5,860.80 and 985.64 is: 1,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.52 : 5,860.80 = 985.64 : x
  2. Step 2: Convert to fraction form
    3,907.52/5,860.80 = 985.64/x
  3. Step 3: Cross multiply
    3,907.52x = 5,860.80 × 985.64
  4. Step 4: Simplify right side
    3,907.52x = 5,776,638.91
  5. Step 5: Solve for x
    x = 5,776,638.91/3,907.52
  6. Step 6: Final answer
    x = 1,478.34

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1.5x scale

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.