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Finding the Fourth Proportional to 2,782.70, 3,840.55 and 1,587.68

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Solution

The fourth proportional to 2,782.70, 3,840.55 and 1,587.68 is: 2,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.70 : 3,840.55 = 1,587.68 : x
  2. Step 2: Convert to fraction form
    2,782.70/3,840.55 = 1,587.68/x
  3. Step 3: Cross multiply
    2,782.70x = 3,840.55 × 1,587.68
  4. Step 4: Simplify right side
    2,782.70x = 6,097,570.06
  5. Step 5: Solve for x
    x = 6,097,570.06/2,782.70
  6. Step 6: Final answer
    x = 2,191.25

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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.