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Finding the Fourth Proportional to 12,951.63, 19,431.63 and 5,458.86

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Solution

The fourth proportional to 12,951.63, 19,431.63 and 5,458.86 is: 8,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.63 : 19,431.63 = 5,458.86 : x
  2. Step 2: Convert to fraction form
    12,951.63/19,431.63 = 5,458.86/x
  3. Step 3: Cross multiply
    12,951.63x = 19,431.63 × 5,458.86
  4. Step 4: Simplify right side
    12,951.63x = 106,074,547.74
  5. Step 5: Solve for x
    x = 106,074,547.74/12,951.63
  6. Step 6: Final answer
    x = 8,190.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.