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Finding the Fourth Proportional to 4,858, 7,287.54 and 1,780

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Solution

The fourth proportional to 4,858, 7,287.54 and 1,780 is: 2,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858 : 7,287.54 = 1,780 : x
  2. Step 2: Convert to fraction form
    4,858/7,287.54 = 1,780/x
  3. Step 3: Cross multiply
    4,858x = 7,287.54 × 1,780
  4. Step 4: Simplify right side
    4,858x = 12,971,821.20
  5. Step 5: Solve for x
    x = 12,971,821.20/4,858
  6. Step 6: Final answer
    x = 2,670.20

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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.