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Finding the Fourth Proportional to 2,931.66, 4,395.06 and 2,051.66

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Solution

The fourth proportional to 2,931.66, 4,395.06 and 2,051.66 is: 3,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.66 : 4,395.06 = 2,051.66 : x
  2. Step 2: Convert to fraction form
    2,931.66/4,395.06 = 2,051.66/x
  3. Step 3: Cross multiply
    2,931.66x = 4,395.06 × 2,051.66
  4. Step 4: Simplify right side
    2,931.66x = 9,017,179.79
  5. Step 5: Solve for x
    x = 9,017,179.79/2,931.66
  6. Step 6: Final answer
    x = 3,075.79

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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.