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Finding the Fourth Proportional to 7,817.76, 11,781.60 and 7,038.72

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Solution

The fourth proportional to 7,817.76, 11,781.60 and 7,038.72 is: 10,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.76 : 11,781.60 = 7,038.72 : x
  2. Step 2: Convert to fraction form
    7,817.76/11,781.60 = 7,038.72/x
  3. Step 3: Cross multiply
    7,817.76x = 11,781.60 × 7,038.72
  4. Step 4: Simplify right side
    7,817.76x = 82,927,383.55
  5. Step 5: Solve for x
    x = 82,927,383.55/7,817.76
  6. Step 6: Final answer
    x = 10,607.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.