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Finding the Fourth Proportional to 21,969.53, 32,957.49 and 6,971.63

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Solution

The fourth proportional to 21,969.53, 32,957.49 and 6,971.63 is: 10,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.53 : 32,957.49 = 6,971.63 : x
  2. Step 2: Convert to fraction form
    21,969.53/32,957.49 = 6,971.63/x
  3. Step 3: Cross multiply
    21,969.53x = 32,957.49 × 6,971.63
  4. Step 4: Simplify right side
    21,969.53x = 229,767,261.22
  5. Step 5: Solve for x
    x = 229,767,261.22/21,969.53
  6. Step 6: Final answer
    x = 10,458.45

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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.