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Finding the Fourth Proportional to 1,460.80, 2,191.20 and 1,404.10

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Solution

The fourth proportional to 1,460.80, 2,191.20 and 1,404.10 is: 2,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.80 : 2,191.20 = 1,404.10 : x
  2. Step 2: Convert to fraction form
    1,460.80/2,191.20 = 1,404.10/x
  3. Step 3: Cross multiply
    1,460.80x = 2,191.20 × 1,404.10
  4. Step 4: Simplify right side
    1,460.80x = 3,076,663.92
  5. Step 5: Solve for x
    x = 3,076,663.92/1,460.80
  6. Step 6: Final answer
    x = 2,106.15

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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.