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Finding the Fourth Proportional to 15,074.40, 20,809.81 and 10,047

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Solution

The fourth proportional to 15,074.40, 20,809.81 and 10,047 is: 13,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.40 : 20,809.81 = 10,047 : x
  2. Step 2: Convert to fraction form
    15,074.40/20,809.81 = 10,047/x
  3. Step 3: Cross multiply
    15,074.40x = 20,809.81 × 10,047
  4. Step 4: Simplify right side
    15,074.40x = 209,076,161.07
  5. Step 5: Solve for x
    x = 209,076,161.07/15,074.40
  6. Step 6: Final answer
    x = 13,869.62

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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.