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Finding the Fourth Proportional to 22,438, 30,964.80 and 13,009.60

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Solution

The fourth proportional to 22,438, 30,964.80 and 13,009.60 is: 17,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438 : 30,964.80 = 13,009.60 : x
  2. Step 2: Convert to fraction form
    22,438/30,964.80 = 13,009.60/x
  3. Step 3: Cross multiply
    22,438x = 30,964.80 × 13,009.60
  4. Step 4: Simplify right side
    22,438x = 402,839,662.08
  5. Step 5: Solve for x
    x = 402,839,662.08/22,438
  6. Step 6: Final answer
    x = 17,953.46

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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.