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Finding the Fourth Proportional to 2,782.04, 4,173.06 and 1,686.72

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Solution

The fourth proportional to 2,782.04, 4,173.06 and 1,686.72 is: 2,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.04 : 4,173.06 = 1,686.72 : x
  2. Step 2: Convert to fraction form
    2,782.04/4,173.06 = 1,686.72/x
  3. Step 3: Cross multiply
    2,782.04x = 4,173.06 × 1,686.72
  4. Step 4: Simplify right side
    2,782.04x = 7,038,783.76
  5. Step 5: Solve for x
    x = 7,038,783.76/2,782.04
  6. Step 6: Final answer
    x = 2,530.08

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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.