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Finding the Fourth Proportional to 1,326.20, 1,830.18 and 802.12

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Solution

The fourth proportional to 1,326.20, 1,830.18 and 802.12 is: 1,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.20 : 1,830.18 = 802.12 : x
  2. Step 2: Convert to fraction form
    1,326.20/1,830.18 = 802.12/x
  3. Step 3: Cross multiply
    1,326.20x = 1,830.18 × 802.12
  4. Step 4: Simplify right side
    1,326.20x = 1,468,023.98
  5. Step 5: Solve for x
    x = 1,468,023.98/1,326.20
  6. Step 6: Final answer
    x = 1,106.94

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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.