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Finding the Fourth Proportional to 8,530.61, 12,798.81 and 5,205.51

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Solution

The fourth proportional to 8,530.61, 12,798.81 and 5,205.51 is: 7,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.61 : 12,798.81 = 5,205.51 : x
  2. Step 2: Convert to fraction form
    8,530.61/12,798.81 = 5,205.51/x
  3. Step 3: Cross multiply
    8,530.61x = 12,798.81 × 5,205.51
  4. Step 4: Simplify right side
    8,530.61x = 66,624,333.44
  5. Step 5: Solve for x
    x = 66,624,333.44/8,530.61
  6. Step 6: Final answer
    x = 7,810.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.