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Finding the Fourth Proportional to 2,308.13, 3,461.87 and 847.08

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Solution

The fourth proportional to 2,308.13, 3,461.87 and 847.08 is: 1,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.13 : 3,461.87 = 847.08 : x
  2. Step 2: Convert to fraction form
    2,308.13/3,461.87 = 847.08/x
  3. Step 3: Cross multiply
    2,308.13x = 3,461.87 × 847.08
  4. Step 4: Simplify right side
    2,308.13x = 2,932,476.60
  5. Step 5: Solve for x
    x = 2,932,476.60/2,308.13
  6. Step 6: Final answer
    x = 1,270.50

Related Problems

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Find fourth proportional to 2,309.13, 3,463.36 and 848.08
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1.5x scale

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.