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Finding the Fourth Proportional to 12,416.64, 17,133.95 and 7,311.35

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Solution

The fourth proportional to 12,416.64, 17,133.95 and 7,311.35 is: 10,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.64 : 17,133.95 = 7,311.35 : x
  2. Step 2: Convert to fraction form
    12,416.64/17,133.95 = 7,311.35/x
  3. Step 3: Cross multiply
    12,416.64x = 17,133.95 × 7,311.35
  4. Step 4: Simplify right side
    12,416.64x = 125,272,305.33
  5. Step 5: Solve for x
    x = 125,272,305.33/12,416.64
  6. Step 6: Final answer
    x = 10,089.07

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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.