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Finding the Fourth Proportional to 2,154.56, 2,973.03 and 1,315.73

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Solution

The fourth proportional to 2,154.56, 2,973.03 and 1,315.73 is: 1,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.56 : 2,973.03 = 1,315.73 : x
  2. Step 2: Convert to fraction form
    2,154.56/2,973.03 = 1,315.73/x
  3. Step 3: Cross multiply
    2,154.56x = 2,973.03 × 1,315.73
  4. Step 4: Simplify right side
    2,154.56x = 3,911,704.76
  5. Step 5: Solve for x
    x = 3,911,704.76/2,154.56
  6. Step 6: Final answer
    x = 1,815.55

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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.