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Finding the Fourth Proportional to 1,886.32, 2,828.58 and 653.50

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Solution

The fourth proportional to 1,886.32, 2,828.58 and 653.50 is: 979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.32 : 2,828.58 = 653.50 : x
  2. Step 2: Convert to fraction form
    1,886.32/2,828.58 = 653.50/x
  3. Step 3: Cross multiply
    1,886.32x = 2,828.58 × 653.50
  4. Step 4: Simplify right side
    1,886.32x = 1,848,477.03
  5. Step 5: Solve for x
    x = 1,848,477.03/1,886.32
  6. Step 6: Final answer
    x = 979.94

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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.