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Finding the Fourth Proportional to 2,815.90, 3,885.93 and 1,573.90

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Solution

The fourth proportional to 2,815.90, 3,885.93 and 1,573.90 is: 2,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.90 : 3,885.93 = 1,573.90 : x
  2. Step 2: Convert to fraction form
    2,815.90/3,885.93 = 1,573.90/x
  3. Step 3: Cross multiply
    2,815.90x = 3,885.93 × 1,573.90
  4. Step 4: Simplify right side
    2,815.90x = 6,116,065.23
  5. Step 5: Solve for x
    x = 6,116,065.23/2,815.90
  6. Step 6: Final answer
    x = 2,171.98

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1.5x scale

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.