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Finding the Fourth Proportional to 2,047.23, 2,822.20 and 1,416.80

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Solution

The fourth proportional to 2,047.23, 2,822.20 and 1,416.80 is: 1,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.23 : 2,822.20 = 1,416.80 : x
  2. Step 2: Convert to fraction form
    2,047.23/2,822.20 = 1,416.80/x
  3. Step 3: Cross multiply
    2,047.23x = 2,822.20 × 1,416.80
  4. Step 4: Simplify right side
    2,047.23x = 3,998,492.96
  5. Step 5: Solve for x
    x = 3,998,492.96/2,047.23
  6. Step 6: Final answer
    x = 1,953.12

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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.