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Finding the Fourth Proportional to 2,999.72, 4,498.86 and 947.72

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Solution

The fourth proportional to 2,999.72, 4,498.86 and 947.72 is: 1,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.72 : 4,498.86 = 947.72 : x
  2. Step 2: Convert to fraction form
    2,999.72/4,498.86 = 947.72/x
  3. Step 3: Cross multiply
    2,999.72x = 4,498.86 × 947.72
  4. Step 4: Simplify right side
    2,999.72x = 4,263,659.60
  5. Step 5: Solve for x
    x = 4,263,659.60/2,999.72
  6. Step 6: Final answer
    x = 1,421.35

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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.