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Finding the Fourth Proportional to 1,935.60, 2,903.80 and 840.24

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Solution

The fourth proportional to 1,935.60, 2,903.80 and 840.24 is: 1,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.60 : 2,903.80 = 840.24 : x
  2. Step 2: Convert to fraction form
    1,935.60/2,903.80 = 840.24/x
  3. Step 3: Cross multiply
    1,935.60x = 2,903.80 × 840.24
  4. Step 4: Simplify right side
    1,935.60x = 2,439,888.91
  5. Step 5: Solve for x
    x = 2,439,888.91/1,935.60
  6. Step 6: Final answer
    x = 1,260.53

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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.