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Finding the Fourth Proportional to 1,526.85, 2,106 and 937.31

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Solution

The fourth proportional to 1,526.85, 2,106 and 937.31 is: 1,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.85 : 2,106 = 937.31 : x
  2. Step 2: Convert to fraction form
    1,526.85/2,106 = 937.31/x
  3. Step 3: Cross multiply
    1,526.85x = 2,106 × 937.31
  4. Step 4: Simplify right side
    1,526.85x = 1,973,964.33
  5. Step 5: Solve for x
    x = 1,973,964.33/1,526.85
  6. Step 6: Final answer
    x = 1,292.83

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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.