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Finding the Fourth Proportional to 12,303.49, 16,978.74 and 6,998.32

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Solution

The fourth proportional to 12,303.49, 16,978.74 and 6,998.32 is: 9,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.49 : 16,978.74 = 6,998.32 : x
  2. Step 2: Convert to fraction form
    12,303.49/16,978.74 = 6,998.32/x
  3. Step 3: Cross multiply
    12,303.49x = 16,978.74 × 6,998.32
  4. Step 4: Simplify right side
    12,303.49x = 118,822,655.72
  5. Step 5: Solve for x
    x = 118,822,655.72/12,303.49
  6. Step 6: Final answer
    x = 9,657.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.