Home / 1,326.14-1,829.77-802.16

Finding the Fourth Proportional to 1,326.14, 1,829.77 and 802.16

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Solution

The fourth proportional to 1,326.14, 1,829.77 and 802.16 is: 1,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.14 : 1,829.77 = 802.16 : x
  2. Step 2: Convert to fraction form
    1,326.14/1,829.77 = 802.16/x
  3. Step 3: Cross multiply
    1,326.14x = 1,829.77 × 802.16
  4. Step 4: Simplify right side
    1,326.14x = 1,467,768.30
  5. Step 5: Solve for x
    x = 1,467,768.30/1,326.14
  6. Step 6: Final answer
    x = 1,106.80

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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.