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Finding the Fourth Proportional to 51,321, 70,824.10 and 28,965.16

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Solution

The fourth proportional to 51,321, 70,824.10 and 28,965.16 is: 39,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,321 : 70,824.10 = 28,965.16 : x
  2. Step 2: Convert to fraction form
    51,321/70,824.10 = 28,965.16/x
  3. Step 3: Cross multiply
    51,321x = 70,824.10 × 28,965.16
  4. Step 4: Simplify right side
    51,321x = 2,051,431,388.36
  5. Step 5: Solve for x
    x = 2,051,431,388.36/51,321
  6. Step 6: Final answer
    x = 39,972.55

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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.