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Finding the Fourth Proportional to 8,173.76, 11,279.80 and 4,637.68

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Solution

The fourth proportional to 8,173.76, 11,279.80 and 4,637.68 is: 6,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.76 : 11,279.80 = 4,637.68 : x
  2. Step 2: Convert to fraction form
    8,173.76/11,279.80 = 4,637.68/x
  3. Step 3: Cross multiply
    8,173.76x = 11,279.80 × 4,637.68
  4. Step 4: Simplify right side
    8,173.76x = 52,312,102.86
  5. Step 5: Solve for x
    x = 52,312,102.86/8,173.76
  6. Step 6: Final answer
    x = 6,400.00

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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.