Home / 1,486.50-2,051.36-823.35

Finding the Fourth Proportional to 1,486.50, 2,051.36 and 823.35

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Solution

The fourth proportional to 1,486.50, 2,051.36 and 823.35 is: 1,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.50 : 2,051.36 = 823.35 : x
  2. Step 2: Convert to fraction form
    1,486.50/2,051.36 = 823.35/x
  3. Step 3: Cross multiply
    1,486.50x = 2,051.36 × 823.35
  4. Step 4: Simplify right side
    1,486.50x = 1,688,989.31
  5. Step 5: Solve for x
    x = 1,688,989.31/1,486.50
  6. Step 6: Final answer
    x = 1,136.22

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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.