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Finding the Fourth Proportional to 2,140.34, 3,210.71 and 841.50

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Solution

The fourth proportional to 2,140.34, 3,210.71 and 841.50 is: 1,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.34 : 3,210.71 = 841.50 : x
  2. Step 2: Convert to fraction form
    2,140.34/3,210.71 = 841.50/x
  3. Step 3: Cross multiply
    2,140.34x = 3,210.71 × 841.50
  4. Step 4: Simplify right side
    2,140.34x = 2,701,808.26
  5. Step 5: Solve for x
    x = 2,701,808.26/2,140.34
  6. Step 6: Final answer
    x = 1,262.33

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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.