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Finding the Fourth Proportional to 15,820.75, 21,830.74 and 8,746.21

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Solution

The fourth proportional to 15,820.75, 21,830.74 and 8,746.21 is: 12,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.75 : 21,830.74 = 8,746.21 : x
  2. Step 2: Convert to fraction form
    15,820.75/21,830.74 = 8,746.21/x
  3. Step 3: Cross multiply
    15,820.75x = 21,830.74 × 8,746.21
  4. Step 4: Simplify right side
    15,820.75x = 190,936,236.50
  5. Step 5: Solve for x
    x = 190,936,236.50/15,820.75
  6. Step 6: Final answer
    x = 12,068.72

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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.