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Finding the Fourth Proportional to 7,148.46, 9,865.36 and 4,004.66

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Solution

The fourth proportional to 7,148.46, 9,865.36 and 4,004.66 is: 5,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.46 : 9,865.36 = 4,004.66 : x
  2. Step 2: Convert to fraction form
    7,148.46/9,865.36 = 4,004.66/x
  3. Step 3: Cross multiply
    7,148.46x = 9,865.36 × 4,004.66
  4. Step 4: Simplify right side
    7,148.46x = 39,507,412.58
  5. Step 5: Solve for x
    x = 39,507,412.58/7,148.46
  6. Step 6: Final answer
    x = 5,526.70

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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.