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Finding the Fourth Proportional to 1,874.16, 2,586.20 and 1,046

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Solution

The fourth proportional to 1,874.16, 2,586.20 and 1,046 is: 1,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.16 : 2,586.20 = 1,046 : x
  2. Step 2: Convert to fraction form
    1,874.16/2,586.20 = 1,046/x
  3. Step 3: Cross multiply
    1,874.16x = 2,586.20 × 1,046
  4. Step 4: Simplify right side
    1,874.16x = 2,705,165.20
  5. Step 5: Solve for x
    x = 2,705,165.20/1,874.16
  6. Step 6: Final answer
    x = 1,443.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.