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Finding the Fourth Proportional to 37,641.60, 51,948.48 and 20,880

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Solution

The fourth proportional to 37,641.60, 51,948.48 and 20,880 is: 28,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.60 : 51,948.48 = 20,880 : x
  2. Step 2: Convert to fraction form
    37,641.60/51,948.48 = 20,880/x
  3. Step 3: Cross multiply
    37,641.60x = 51,948.48 × 20,880
  4. Step 4: Simplify right side
    37,641.60x = 1,084,684,262.40
  5. Step 5: Solve for x
    x = 1,084,684,262.40/37,641.60
  6. Step 6: Final answer
    x = 28,816.10

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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.