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Finding the Fourth Proportional to 7,140, 9,853.56 and 4,345.68

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Solution

The fourth proportional to 7,140, 9,853.56 and 4,345.68 is: 5,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 9,853.56 = 4,345.68 : x
  2. Step 2: Convert to fraction form
    7,140/9,853.56 = 4,345.68/x
  3. Step 3: Cross multiply
    7,140x = 9,853.56 × 4,345.68
  4. Step 4: Simplify right side
    7,140x = 42,820,418.62
  5. Step 5: Solve for x
    x = 42,820,418.62/7,140
  6. Step 6: Final answer
    x = 5,997.26

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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.