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Finding the Fourth Proportional to 21,758.64, 32,629.24 and 9,284.23

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Solution

The fourth proportional to 21,758.64, 32,629.24 and 9,284.23 is: 13,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.64 : 32,629.24 = 9,284.23 : x
  2. Step 2: Convert to fraction form
    21,758.64/32,629.24 = 9,284.23/x
  3. Step 3: Cross multiply
    21,758.64x = 32,629.24 × 9,284.23
  4. Step 4: Simplify right side
    21,758.64x = 302,937,368.89
  5. Step 5: Solve for x
    x = 302,937,368.89/21,758.64
  6. Step 6: Final answer
    x = 13,922.62

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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.