Home / 1,431.96-1,975.80-802.38

Finding the Fourth Proportional to 1,431.96, 1,975.80 and 802.38

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Solution

The fourth proportional to 1,431.96, 1,975.80 and 802.38 is: 1,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.96 : 1,975.80 = 802.38 : x
  2. Step 2: Convert to fraction form
    1,431.96/1,975.80 = 802.38/x
  3. Step 3: Cross multiply
    1,431.96x = 1,975.80 × 802.38
  4. Step 4: Simplify right side
    1,431.96x = 1,585,342.40
  5. Step 5: Solve for x
    x = 1,585,342.40/1,431.96
  6. Step 6: Final answer
    x = 1,107.11

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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.