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Finding the Fourth Proportional to 12,000.54, 16,561.54 and 6,695.47

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Solution

The fourth proportional to 12,000.54, 16,561.54 and 6,695.47 is: 9,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.54 : 16,561.54 = 6,695.47 : x
  2. Step 2: Convert to fraction form
    12,000.54/16,561.54 = 6,695.47/x
  3. Step 3: Cross multiply
    12,000.54x = 16,561.54 × 6,695.47
  4. Step 4: Simplify right side
    12,000.54x = 110,887,292.24
  5. Step 5: Solve for x
    x = 110,887,292.24/12,000.54
  6. Step 6: Final answer
    x = 9,240.19

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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.