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Finding the Fourth Proportional to 38,491, 53,117.74 and 20,827

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Solution

The fourth proportional to 38,491, 53,117.74 and 20,827 is: 28,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491 : 53,117.74 = 20,827 : x
  2. Step 2: Convert to fraction form
    38,491/53,117.74 = 20,827/x
  3. Step 3: Cross multiply
    38,491x = 53,117.74 × 20,827
  4. Step 4: Simplify right side
    38,491x = 1,106,283,170.98
  5. Step 5: Solve for x
    x = 1,106,283,170.98/38,491
  6. Step 6: Final answer
    x = 28,741.35

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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.