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Finding the Fourth Proportional to 23,412.40, 32,311.30 and 12,803.60

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Solution

The fourth proportional to 23,412.40, 32,311.30 and 12,803.60 is: 17,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.40 : 32,311.30 = 12,803.60 : x
  2. Step 2: Convert to fraction form
    23,412.40/32,311.30 = 12,803.60/x
  3. Step 3: Cross multiply
    23,412.40x = 32,311.30 × 12,803.60
  4. Step 4: Simplify right side
    23,412.40x = 413,700,960.68
  5. Step 5: Solve for x
    x = 413,700,960.68/23,412.40
  6. Step 6: Final answer
    x = 17,670.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.