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Finding the Fourth Proportional to 29,781.44, 44,670.72 and 11,312

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Solution

The fourth proportional to 29,781.44, 44,670.72 and 11,312 is: 16,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.44 : 44,670.72 = 11,312 : x
  2. Step 2: Convert to fraction form
    29,781.44/44,670.72 = 11,312/x
  3. Step 3: Cross multiply
    29,781.44x = 44,670.72 × 11,312
  4. Step 4: Simplify right side
    29,781.44x = 505,315,184.64
  5. Step 5: Solve for x
    x = 505,315,184.64/29,781.44
  6. Step 6: Final answer
    x = 16,967.45

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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.