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Finding the Fourth Proportional to 12,319, 17,000.22 and 8,128.06

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Solution

The fourth proportional to 12,319, 17,000.22 and 8,128.06 is: 11,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319 : 17,000.22 = 8,128.06 : x
  2. Step 2: Convert to fraction form
    12,319/17,000.22 = 8,128.06/x
  3. Step 3: Cross multiply
    12,319x = 17,000.22 × 8,128.06
  4. Step 4: Simplify right side
    12,319x = 138,178,808.17
  5. Step 5: Solve for x
    x = 138,178,808.17/12,319
  6. Step 6: Final answer
    x = 11,216.72

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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.