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Finding the Fourth Proportional to 2,677.85, 4,019.08 and 1,509.00

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Solution

The fourth proportional to 2,677.85, 4,019.08 and 1,509.00 is: 2,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.85 : 4,019.08 = 1,509.00 : x
  2. Step 2: Convert to fraction form
    2,677.85/4,019.08 = 1,509.00/x
  3. Step 3: Cross multiply
    2,677.85x = 4,019.08 × 1,509.00
  4. Step 4: Simplify right side
    2,677.85x = 6,064,782.76
  5. Step 5: Solve for x
    x = 6,064,782.76/2,677.85
  6. Step 6: Final answer
    x = 2,264.80

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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.