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Finding the Fourth Proportional to 1,878.74, 2,818.71 and 904.94

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Solution

The fourth proportional to 1,878.74, 2,818.71 and 904.94 is: 1,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.74 : 2,818.71 = 904.94 : x
  2. Step 2: Convert to fraction form
    1,878.74/2,818.71 = 904.94/x
  3. Step 3: Cross multiply
    1,878.74x = 2,818.71 × 904.94
  4. Step 4: Simplify right side
    1,878.74x = 2,550,763.43
  5. Step 5: Solve for x
    x = 2,550,763.43/1,878.74
  6. Step 6: Final answer
    x = 1,357.70

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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.