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Finding the Fourth Proportional to 14,274.72, 19,700.64 and 7,987.68

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Solution

The fourth proportional to 14,274.72, 19,700.64 and 7,987.68 is: 11,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.72 : 19,700.64 = 7,987.68 : x
  2. Step 2: Convert to fraction form
    14,274.72/19,700.64 = 7,987.68/x
  3. Step 3: Cross multiply
    14,274.72x = 19,700.64 × 7,987.68
  4. Step 4: Simplify right side
    14,274.72x = 157,362,408.12
  5. Step 5: Solve for x
    x = 157,362,408.12/14,274.72
  6. Step 6: Final answer
    x = 11,023.85

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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.