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Finding the Fourth Proportional to 1,885.65, 2,602.77 and 1,222.50

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Solution

The fourth proportional to 1,885.65, 2,602.77 and 1,222.50 is: 1,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.65 : 2,602.77 = 1,222.50 : x
  2. Step 2: Convert to fraction form
    1,885.65/2,602.77 = 1,222.50/x
  3. Step 3: Cross multiply
    1,885.65x = 2,602.77 × 1,222.50
  4. Step 4: Simplify right side
    1,885.65x = 3,181,886.33
  5. Step 5: Solve for x
    x = 3,181,886.33/1,885.65
  6. Step 6: Final answer
    x = 1,687.42

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1.5x scale

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.