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Finding the Fourth Proportional to 7,070, 10,602.98 and 2,853.28

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Solution

The fourth proportional to 7,070, 10,602.98 and 2,853.28 is: 4,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 10,602.98 = 2,853.28 : x
  2. Step 2: Convert to fraction form
    7,070/10,602.98 = 2,853.28/x
  3. Step 3: Cross multiply
    7,070x = 10,602.98 × 2,853.28
  4. Step 4: Simplify right side
    7,070x = 30,253,270.77
  5. Step 5: Solve for x
    x = 30,253,270.77/7,070
  6. Step 6: Final answer
    x = 4,279.10

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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.