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Finding the Fourth Proportional to 8,315.83, 11,475.80 and 4,538.98

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Solution

The fourth proportional to 8,315.83, 11,475.80 and 4,538.98 is: 6,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.83 : 11,475.80 = 4,538.98 : x
  2. Step 2: Convert to fraction form
    8,315.83/11,475.80 = 4,538.98/x
  3. Step 3: Cross multiply
    8,315.83x = 11,475.80 × 4,538.98
  4. Step 4: Simplify right side
    8,315.83x = 52,088,426.68
  5. Step 5: Solve for x
    x = 52,088,426.68/8,315.83
  6. Step 6: Final answer
    x = 6,263.77

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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.