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Finding the Fourth Proportional to 1,753.36, 2,419.58 and 967.40

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Solution

The fourth proportional to 1,753.36, 2,419.58 and 967.40 is: 1,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.36 : 2,419.58 = 967.40 : x
  2. Step 2: Convert to fraction form
    1,753.36/2,419.58 = 967.40/x
  3. Step 3: Cross multiply
    1,753.36x = 2,419.58 × 967.40
  4. Step 4: Simplify right side
    1,753.36x = 2,340,701.69
  5. Step 5: Solve for x
    x = 2,340,701.69/1,753.36
  6. Step 6: Final answer
    x = 1,334.98

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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.