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Finding the Fourth Proportional to 1,416.09, 2,124.11 and 770.92

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Solution

The fourth proportional to 1,416.09, 2,124.11 and 770.92 is: 1,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.09 : 2,124.11 = 770.92 : x
  2. Step 2: Convert to fraction form
    1,416.09/2,124.11 = 770.92/x
  3. Step 3: Cross multiply
    1,416.09x = 2,124.11 × 770.92
  4. Step 4: Simplify right side
    1,416.09x = 1,637,515.03
  5. Step 5: Solve for x
    x = 1,637,515.03/1,416.09
  6. Step 6: Final answer
    x = 1,156.37

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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.