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Finding the Fourth Proportional to 4,918, 7,378.08 and 1,840

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Solution

The fourth proportional to 4,918, 7,378.08 and 1,840 is: 2,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918 : 7,378.08 = 1,840 : x
  2. Step 2: Convert to fraction form
    4,918/7,378.08 = 1,840/x
  3. Step 3: Cross multiply
    4,918x = 7,378.08 × 1,840
  4. Step 4: Simplify right side
    4,918x = 13,575,667.20
  5. Step 5: Solve for x
    x = 13,575,667.20/4,918
  6. Step 6: Final answer
    x = 2,760.40

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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.