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Finding the Fourth Proportional to 1,739.76, 2,394.84 and 1,503.60

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Solution

The fourth proportional to 1,739.76, 2,394.84 and 1,503.60 is: 2,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.76 : 2,394.84 = 1,503.60 : x
  2. Step 2: Convert to fraction form
    1,739.76/2,394.84 = 1,503.60/x
  3. Step 3: Cross multiply
    1,739.76x = 2,394.84 × 1,503.60
  4. Step 4: Simplify right side
    1,739.76x = 3,600,881.42
  5. Step 5: Solve for x
    x = 3,600,881.42/1,739.76
  6. Step 6: Final answer
    x = 2,069.76

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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.