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Finding the Fourth Proportional to 1,984.32, 2,735.19 and 1,564.00

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Solution

The fourth proportional to 1,984.32, 2,735.19 and 1,564.00 is: 2,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.32 : 2,735.19 = 1,564.00 : x
  2. Step 2: Convert to fraction form
    1,984.32/2,735.19 = 1,564.00/x
  3. Step 3: Cross multiply
    1,984.32x = 2,735.19 × 1,564.00
  4. Step 4: Simplify right side
    1,984.32x = 4,277,830.32
  5. Step 5: Solve for x
    x = 4,277,830.32/1,984.32
  6. Step 6: Final answer
    x = 2,155.82

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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.