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Finding the Fourth Proportional to 30,398.63, 45,594.50 and 8,210.70

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Solution

The fourth proportional to 30,398.63, 45,594.50 and 8,210.70 is: 12,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.63 : 45,594.50 = 8,210.70 : x
  2. Step 2: Convert to fraction form
    30,398.63/45,594.50 = 8,210.70/x
  3. Step 3: Cross multiply
    30,398.63x = 45,594.50 × 8,210.70
  4. Step 4: Simplify right side
    30,398.63x = 374,362,720.10
  5. Step 5: Solve for x
    x = 374,362,720.10/30,398.63
  6. Step 6: Final answer
    x = 12,315.12

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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.