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Finding the Fourth Proportional to 14,996.88, 20,719.80 and 12,782.16

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Solution

The fourth proportional to 14,996.88, 20,719.80 and 12,782.16 is: 17,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.88 : 20,719.80 = 12,782.16 : x
  2. Step 2: Convert to fraction form
    14,996.88/20,719.80 = 12,782.16/x
  3. Step 3: Cross multiply
    14,996.88x = 20,719.80 × 12,782.16
  4. Step 4: Simplify right side
    14,996.88x = 264,843,798.77
  5. Step 5: Solve for x
    x = 264,843,798.77/14,996.88
  6. Step 6: Final answer
    x = 17,659.93

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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.