Home / 1,842.17-2,762.23-962.47

Finding the Fourth Proportional to 1,842.17, 2,762.23 and 962.47

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Solution

The fourth proportional to 1,842.17, 2,762.23 and 962.47 is: 1,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.17 : 2,762.23 = 962.47 : x
  2. Step 2: Convert to fraction form
    1,842.17/2,762.23 = 962.47/x
  3. Step 3: Cross multiply
    1,842.17x = 2,762.23 × 962.47
  4. Step 4: Simplify right side
    1,842.17x = 2,658,563.51
  5. Step 5: Solve for x
    x = 2,658,563.51/1,842.17
  6. Step 6: Final answer
    x = 1,443.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.