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Finding the Fourth Proportional to 6,714.47, 10,070.78 and 1,784.51

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Solution

The fourth proportional to 6,714.47, 10,070.78 and 1,784.51 is: 2,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.47 : 10,070.78 = 1,784.51 : x
  2. Step 2: Convert to fraction form
    6,714.47/10,070.78 = 1,784.51/x
  3. Step 3: Cross multiply
    6,714.47x = 10,070.78 × 1,784.51
  4. Step 4: Simplify right side
    6,714.47x = 17,971,398.70
  5. Step 5: Solve for x
    x = 17,971,398.70/6,714.47
  6. Step 6: Final answer
    x = 2,676.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.