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Finding the Fourth Proportional to 2,702.13, 4,053.63 and 853.02

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Solution

The fourth proportional to 2,702.13, 4,053.63 and 853.02 is: 1,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.13 : 4,053.63 = 853.02 : x
  2. Step 2: Convert to fraction form
    2,702.13/4,053.63 = 853.02/x
  3. Step 3: Cross multiply
    2,702.13x = 4,053.63 × 853.02
  4. Step 4: Simplify right side
    2,702.13x = 3,457,827.46
  5. Step 5: Solve for x
    x = 3,457,827.46/2,702.13
  6. Step 6: Final answer
    x = 1,279.67

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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.