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Finding the Fourth Proportional to 2,842.70, 4,264.88 and 1,457.00

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Solution

The fourth proportional to 2,842.70, 4,264.88 and 1,457.00 is: 2,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.70 : 4,264.88 = 1,457.00 : x
  2. Step 2: Convert to fraction form
    2,842.70/4,264.88 = 1,457.00/x
  3. Step 3: Cross multiply
    2,842.70x = 4,264.88 × 1,457.00
  4. Step 4: Simplify right side
    2,842.70x = 6,213,944.46
  5. Step 5: Solve for x
    x = 6,213,944.46/2,842.70
  6. Step 6: Final answer
    x = 2,185.93

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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.