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Finding the Fourth Proportional to 1,416.12, 1,953.84 and 974.40

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Solution

The fourth proportional to 1,416.12, 1,953.84 and 974.40 is: 1,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.12 : 1,953.84 = 974.40 : x
  2. Step 2: Convert to fraction form
    1,416.12/1,953.84 = 974.40/x
  3. Step 3: Cross multiply
    1,416.12x = 1,953.84 × 974.40
  4. Step 4: Simplify right side
    1,416.12x = 1,903,821.70
  5. Step 5: Solve for x
    x = 1,903,821.70/1,416.12
  6. Step 6: Final answer
    x = 1,344.39

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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.