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Finding the Fourth Proportional to 1,881.60, 2,822.40 and 648.90

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Solution

The fourth proportional to 1,881.60, 2,822.40 and 648.90 is: 973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.60 : 2,822.40 = 648.90 : x
  2. Step 2: Convert to fraction form
    1,881.60/2,822.40 = 648.90/x
  3. Step 3: Cross multiply
    1,881.60x = 2,822.40 × 648.90
  4. Step 4: Simplify right side
    1,881.60x = 1,831,455.36
  5. Step 5: Solve for x
    x = 1,831,455.36/1,881.60
  6. Step 6: Final answer
    x = 973.35

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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.