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Finding the Fourth Proportional to 12,800.16, 17,666.64 and 8,020.80

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Solution

The fourth proportional to 12,800.16, 17,666.64 and 8,020.80 is: 11,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.16 : 17,666.64 = 8,020.80 : x
  2. Step 2: Convert to fraction form
    12,800.16/17,666.64 = 8,020.80/x
  3. Step 3: Cross multiply
    12,800.16x = 17,666.64 × 8,020.80
  4. Step 4: Simplify right side
    12,800.16x = 141,700,586.11
  5. Step 5: Solve for x
    x = 141,700,586.11/12,800.16
  6. Step 6: Final answer
    x = 11,070.22

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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.