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Finding the Fourth Proportional to 12,361.42, 18,547.44 and 8,202.88

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Solution

The fourth proportional to 12,361.42, 18,547.44 and 8,202.88 is: 12,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.42 : 18,547.44 = 8,202.88 : x
  2. Step 2: Convert to fraction form
    12,361.42/18,547.44 = 8,202.88/x
  3. Step 3: Cross multiply
    12,361.42x = 18,547.44 × 8,202.88
  4. Step 4: Simplify right side
    12,361.42x = 152,142,424.63
  5. Step 5: Solve for x
    x = 152,142,424.63/12,361.42
  6. Step 6: Final answer
    x = 12,307.84

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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.