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Finding the Fourth Proportional to 7,140, 9,853.12 and 3,953.36

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Solution

The fourth proportional to 7,140, 9,853.12 and 3,953.36 is: 5,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 9,853.12 = 3,953.36 : x
  2. Step 2: Convert to fraction form
    7,140/9,853.12 = 3,953.36/x
  3. Step 3: Cross multiply
    7,140x = 9,853.12 × 3,953.36
  4. Step 4: Simplify right side
    7,140x = 38,952,930.48
  5. Step 5: Solve for x
    x = 38,952,930.48/7,140
  6. Step 6: Final answer
    x = 5,455.59

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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.