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Finding the Fourth Proportional to 8,973.60, 12,370.74 and 6,312.75

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Solution

The fourth proportional to 8,973.60, 12,370.74 and 6,312.75 is: 8,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.60 : 12,370.74 = 6,312.75 : x
  2. Step 2: Convert to fraction form
    8,973.60/12,370.74 = 6,312.75/x
  3. Step 3: Cross multiply
    8,973.60x = 12,370.74 × 6,312.75
  4. Step 4: Simplify right side
    8,973.60x = 78,093,388.94
  5. Step 5: Solve for x
    x = 78,093,388.94/8,973.60
  6. Step 6: Final answer
    x = 8,702.57

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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.