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Finding the Fourth Proportional to 37,684, 52,004.60 and 20,689.84

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Solution

The fourth proportional to 37,684, 52,004.60 and 20,689.84 is: 28,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684 : 52,004.60 = 20,689.84 : x
  2. Step 2: Convert to fraction form
    37,684/52,004.60 = 20,689.84/x
  3. Step 3: Cross multiply
    37,684x = 52,004.60 × 20,689.84
  4. Step 4: Simplify right side
    37,684x = 1,075,966,853.26
  5. Step 5: Solve for x
    x = 1,075,966,853.26/37,684
  6. Step 6: Final answer
    x = 28,552.35

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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.