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Finding the Fourth Proportional to 7,877.17, 11,820.48 and 7,070.41

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Solution

The fourth proportional to 7,877.17, 11,820.48 and 7,070.41 is: 10,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.17 : 11,820.48 = 7,070.41 : x
  2. Step 2: Convert to fraction form
    7,877.17/11,820.48 = 7,070.41/x
  3. Step 3: Cross multiply
    7,877.17x = 11,820.48 × 7,070.41
  4. Step 4: Simplify right side
    7,877.17x = 83,575,640.00
  5. Step 5: Solve for x
    x = 83,575,640.00/7,877.17
  6. Step 6: Final answer
    x = 10,609.86

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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.