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Finding the Fourth Proportional to 1,526.39, 2,106.06 and 896.88

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Solution

The fourth proportional to 1,526.39, 2,106.06 and 896.88 is: 1,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.39 : 2,106.06 = 896.88 : x
  2. Step 2: Convert to fraction form
    1,526.39/2,106.06 = 896.88/x
  3. Step 3: Cross multiply
    1,526.39x = 2,106.06 × 896.88
  4. Step 4: Simplify right side
    1,526.39x = 1,888,883.09
  5. Step 5: Solve for x
    x = 1,888,883.09/1,526.39
  6. Step 6: Final answer
    x = 1,237.48

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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.