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Finding the Fourth Proportional to 3,703.40, 5,556.40 and 2,315.16

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Solution

The fourth proportional to 3,703.40, 5,556.40 and 2,315.16 is: 3,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.40 : 5,556.40 = 2,315.16 : x
  2. Step 2: Convert to fraction form
    3,703.40/5,556.40 = 2,315.16/x
  3. Step 3: Cross multiply
    3,703.40x = 5,556.40 × 2,315.16
  4. Step 4: Simplify right side
    3,703.40x = 12,863,955.02
  5. Step 5: Solve for x
    x = 12,863,955.02/3,703.40
  6. Step 6: Final answer
    x = 3,473.55

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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.