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Finding the Fourth Proportional to 12,643.30, 18,964.95 and 8,208.10

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Solution

The fourth proportional to 12,643.30, 18,964.95 and 8,208.10 is: 12,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.30 : 18,964.95 = 8,208.10 : x
  2. Step 2: Convert to fraction form
    12,643.30/18,964.95 = 8,208.10/x
  3. Step 3: Cross multiply
    12,643.30x = 18,964.95 × 8,208.10
  4. Step 4: Simplify right side
    12,643.30x = 155,666,206.10
  5. Step 5: Solve for x
    x = 155,666,206.10/12,643.30
  6. Step 6: Final answer
    x = 12,312.15

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1.5x scale

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.