Home / 1,431.93-1,976.09-802.50

Finding the Fourth Proportional to 1,431.93, 1,976.09 and 802.50

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Solution

The fourth proportional to 1,431.93, 1,976.09 and 802.50 is: 1,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.93 : 1,976.09 = 802.50 : x
  2. Step 2: Convert to fraction form
    1,431.93/1,976.09 = 802.50/x
  3. Step 3: Cross multiply
    1,431.93x = 1,976.09 × 802.50
  4. Step 4: Simplify right side
    1,431.93x = 1,585,808.21
  5. Step 5: Solve for x
    x = 1,585,808.21/1,431.93
  6. Step 6: Final answer
    x = 1,107.46

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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.