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Finding the Fourth Proportional to 3,017.81, 4,526.42 and 826.47

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Solution

The fourth proportional to 3,017.81, 4,526.42 and 826.47 is: 1,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.81 : 4,526.42 = 826.47 : x
  2. Step 2: Convert to fraction form
    3,017.81/4,526.42 = 826.47/x
  3. Step 3: Cross multiply
    3,017.81x = 4,526.42 × 826.47
  4. Step 4: Simplify right side
    3,017.81x = 3,740,946.21
  5. Step 5: Solve for x
    x = 3,740,946.21/3,017.81
  6. Step 6: Final answer
    x = 1,239.62

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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.