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Finding the Fourth Proportional to 10,684.90, 14,746.60 and 8,027.70

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Solution

The fourth proportional to 10,684.90, 14,746.60 and 8,027.70 is: 11,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.90 : 14,746.60 = 8,027.70 : x
  2. Step 2: Convert to fraction form
    10,684.90/14,746.60 = 8,027.70/x
  3. Step 3: Cross multiply
    10,684.90x = 14,746.60 × 8,027.70
  4. Step 4: Simplify right side
    10,684.90x = 118,381,280.82
  5. Step 5: Solve for x
    x = 118,381,280.82/10,684.90
  6. Step 6: Final answer
    x = 11,079.31

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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.