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Finding the Fourth Proportional to 15,772.64, 21,768.80 and 9,400.01

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Solution

The fourth proportional to 15,772.64, 21,768.80 and 9,400.01 is: 12,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.64 : 21,768.80 = 9,400.01 : x
  2. Step 2: Convert to fraction form
    15,772.64/21,768.80 = 9,400.01/x
  3. Step 3: Cross multiply
    15,772.64x = 21,768.80 × 9,400.01
  4. Step 4: Simplify right side
    15,772.64x = 204,626,781.84
  5. Step 5: Solve for x
    x = 204,626,781.84/15,772.64
  6. Step 6: Final answer
    x = 12,973.53

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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.