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Finding the Fourth Proportional to 12,303.16, 16,978.14 and 6,997.86

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Solution

The fourth proportional to 12,303.16, 16,978.14 and 6,997.86 is: 9,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.16 : 16,978.14 = 6,997.86 : x
  2. Step 2: Convert to fraction form
    12,303.16/16,978.14 = 6,997.86/x
  3. Step 3: Cross multiply
    12,303.16x = 16,978.14 × 6,997.86
  4. Step 4: Simplify right side
    12,303.16x = 118,810,646.78
  5. Step 5: Solve for x
    x = 118,810,646.78/12,303.16
  6. Step 6: Final answer
    x = 9,656.92

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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.