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Finding the Fourth Proportional to 6,899.78, 10,350.02 and 1,970.16

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Solution

The fourth proportional to 6,899.78, 10,350.02 and 1,970.16 is: 2,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.78 : 10,350.02 = 1,970.16 : x
  2. Step 2: Convert to fraction form
    6,899.78/10,350.02 = 1,970.16/x
  3. Step 3: Cross multiply
    6,899.78x = 10,350.02 × 1,970.16
  4. Step 4: Simplify right side
    6,899.78x = 20,391,185.55
  5. Step 5: Solve for x
    x = 20,391,185.55/6,899.78
  6. Step 6: Final answer
    x = 2,955.34

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1.5x scale

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.