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Finding the Fourth Proportional to 1,526.70, 2,106.70 and 854.49

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Solution

The fourth proportional to 1,526.70, 2,106.70 and 854.49 is: 1,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.70 : 2,106.70 = 854.49 : x
  2. Step 2: Convert to fraction form
    1,526.70/2,106.70 = 854.49/x
  3. Step 3: Cross multiply
    1,526.70x = 2,106.70 × 854.49
  4. Step 4: Simplify right side
    1,526.70x = 1,800,154.08
  5. Step 5: Solve for x
    x = 1,800,154.08/1,526.70
  6. Step 6: Final answer
    x = 1,179.11

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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.