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Finding the Fourth Proportional to 1,868.57, 2,578.93 and 1,425.63

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Solution

The fourth proportional to 1,868.57, 2,578.93 and 1,425.63 is: 1,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.57 : 2,578.93 = 1,425.63 : x
  2. Step 2: Convert to fraction form
    1,868.57/2,578.93 = 1,425.63/x
  3. Step 3: Cross multiply
    1,868.57x = 2,578.93 × 1,425.63
  4. Step 4: Simplify right side
    1,868.57x = 3,676,596.41
  5. Step 5: Solve for x
    x = 3,676,596.41/1,868.57
  6. Step 6: Final answer
    x = 1,967.60

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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.