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Finding the Fourth Proportional to 21,085.84, 31,642.80 and 7,938.64

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Solution

The fourth proportional to 21,085.84, 31,642.80 and 7,938.64 is: 11,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.84 : 31,642.80 = 7,938.64 : x
  2. Step 2: Convert to fraction form
    21,085.84/31,642.80 = 7,938.64/x
  3. Step 3: Cross multiply
    21,085.84x = 31,642.80 × 7,938.64
  4. Step 4: Simplify right side
    21,085.84x = 251,200,797.79
  5. Step 5: Solve for x
    x = 251,200,797.79/21,085.84
  6. Step 6: Final answer
    x = 11,913.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.