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Finding the Fourth Proportional to 1,888.76, 2,820.41 and 1,542.78

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Solution

The fourth proportional to 1,888.76, 2,820.41 and 1,542.78 is: 2,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.76 : 2,820.41 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    1,888.76/2,820.41 = 1,542.78/x
  3. Step 3: Cross multiply
    1,888.76x = 2,820.41 × 1,542.78
  4. Step 4: Simplify right side
    1,888.76x = 4,351,276.00
  5. Step 5: Solve for x
    x = 4,351,276.00/1,888.76
  6. Step 6: Final answer
    x = 2,303.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.