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Finding the Fourth Proportional to 1,416, 1,953.98 and 856.14

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Solution

The fourth proportional to 1,416, 1,953.98 and 856.14 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 1,953.98 = 856.14 : x
  2. Step 2: Convert to fraction form
    1,416/1,953.98 = 856.14/x
  3. Step 3: Cross multiply
    1,416x = 1,953.98 × 856.14
  4. Step 4: Simplify right side
    1,416x = 1,672,880.44
  5. Step 5: Solve for x
    x = 1,672,880.44/1,416
  6. Step 6: Final answer
    x = 1,181.41

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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.