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Finding the Fourth Proportional to 14,298.35, 19,731.69 and 8,709.35

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Solution

The fourth proportional to 14,298.35, 19,731.69 and 8,709.35 is: 12,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.35 : 19,731.69 = 8,709.35 : x
  2. Step 2: Convert to fraction form
    14,298.35/19,731.69 = 8,709.35/x
  3. Step 3: Cross multiply
    14,298.35x = 19,731.69 × 8,709.35
  4. Step 4: Simplify right side
    14,298.35x = 171,850,095.64
  5. Step 5: Solve for x
    x = 171,850,095.64/14,298.35
  6. Step 6: Final answer
    x = 12,018.88

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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.