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Finding the Fourth Proportional to 22,950.63, 31,670.58 and 12,878.16

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Solution

The fourth proportional to 22,950.63, 31,670.58 and 12,878.16 is: 17,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.63 : 31,670.58 = 12,878.16 : x
  2. Step 2: Convert to fraction form
    22,950.63/31,670.58 = 12,878.16/x
  3. Step 3: Cross multiply
    22,950.63x = 31,670.58 × 12,878.16
  4. Step 4: Simplify right side
    22,950.63x = 407,858,796.53
  5. Step 5: Solve for x
    x = 407,858,796.53/22,950.63
  6. Step 6: Final answer
    x = 17,771.14

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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.