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Finding the Fourth Proportional to 37,643, 51,946.74 and 20,647.64

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Solution

The fourth proportional to 37,643, 51,946.74 and 20,647.64 is: 28,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643 : 51,946.74 = 20,647.64 : x
  2. Step 2: Convert to fraction form
    37,643/51,946.74 = 20,647.64/x
  3. Step 3: Cross multiply
    37,643x = 51,946.74 × 20,647.64
  4. Step 4: Simplify right side
    37,643x = 1,072,577,586.69
  5. Step 5: Solve for x
    x = 1,072,577,586.69/37,643
  6. Step 6: Final answer
    x = 28,493.41

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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.