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Finding the Fourth Proportional to 7,039.47, 9,714.47 and 3,852.77

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Solution

The fourth proportional to 7,039.47, 9,714.47 and 3,852.77 is: 5,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.47 : 9,714.47 = 3,852.77 : x
  2. Step 2: Convert to fraction form
    7,039.47/9,714.47 = 3,852.77/x
  3. Step 3: Cross multiply
    7,039.47x = 9,714.47 × 3,852.77
  4. Step 4: Simplify right side
    7,039.47x = 37,427,627.06
  5. Step 5: Solve for x
    x = 37,427,627.06/7,039.47
  6. Step 6: Final answer
    x = 5,316.82

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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.