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Finding the Fourth Proportional to 2,872.07, 4,307.78 and 1,406.78

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Solution

The fourth proportional to 2,872.07, 4,307.78 and 1,406.78 is: 2,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.07 : 4,307.78 = 1,406.78 : x
  2. Step 2: Convert to fraction form
    2,872.07/4,307.78 = 1,406.78/x
  3. Step 3: Cross multiply
    2,872.07x = 4,307.78 × 1,406.78
  4. Step 4: Simplify right side
    2,872.07x = 6,060,070.18
  5. Step 5: Solve for x
    x = 6,060,070.18/2,872.07
  6. Step 6: Final answer
    x = 2,110.00

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1.5x scale

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.