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Finding the Fourth Proportional to 1,252.12, 1,878.06 and 340.12

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Solution

The fourth proportional to 1,252.12, 1,878.06 and 340.12 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.12 : 1,878.06 = 340.12 : x
  2. Step 2: Convert to fraction form
    1,252.12/1,878.06 = 340.12/x
  3. Step 3: Cross multiply
    1,252.12x = 1,878.06 × 340.12
  4. Step 4: Simplify right side
    1,252.12x = 638,765.77
  5. Step 5: Solve for x
    x = 638,765.77/1,252.12
  6. Step 6: Final answer
    x = 510.15

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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.