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Finding the Fourth Proportional to 12,840.32, 17,714.40 and 7,804.64

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Solution

The fourth proportional to 12,840.32, 17,714.40 and 7,804.64 is: 10,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.32 : 17,714.40 = 7,804.64 : x
  2. Step 2: Convert to fraction form
    12,840.32/17,714.40 = 7,804.64/x
  3. Step 3: Cross multiply
    12,840.32x = 17,714.40 × 7,804.64
  4. Step 4: Simplify right side
    12,840.32x = 138,254,514.82
  5. Step 5: Solve for x
    x = 138,254,514.82/12,840.32
  6. Step 6: Final answer
    x = 10,767.22

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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.