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Finding the Fourth Proportional to 6,650.51, 9,975.74 and 1,970.55

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Solution

The fourth proportional to 6,650.51, 9,975.74 and 1,970.55 is: 2,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.51 : 9,975.74 = 1,970.55 : x
  2. Step 2: Convert to fraction form
    6,650.51/9,975.74 = 1,970.55/x
  3. Step 3: Cross multiply
    6,650.51x = 9,975.74 × 1,970.55
  4. Step 4: Simplify right side
    6,650.51x = 19,657,684.60
  5. Step 5: Solve for x
    x = 19,657,684.60/6,650.51
  6. Step 6: Final answer
    x = 2,955.82

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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.