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Finding the Fourth Proportional to 8,444.30, 12,643.65 and 5,664.99

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Solution

The fourth proportional to 8,444.30, 12,643.65 and 5,664.99 is: 8,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.30 : 12,643.65 = 5,664.99 : x
  2. Step 2: Convert to fraction form
    8,444.30/12,643.65 = 5,664.99/x
  3. Step 3: Cross multiply
    8,444.30x = 12,643.65 × 5,664.99
  4. Step 4: Simplify right side
    8,444.30x = 71,626,150.81
  5. Step 5: Solve for x
    x = 71,626,150.81/8,444.30
  6. Step 6: Final answer
    x = 8,482.19

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Why These Related Problems?

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