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Finding the Fourth Proportional to 7,148.90, 9,865.04 and 4,005.02

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Solution

The fourth proportional to 7,148.90, 9,865.04 and 4,005.02 is: 5,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.90 : 9,865.04 = 4,005.02 : x
  2. Step 2: Convert to fraction form
    7,148.90/9,865.04 = 4,005.02/x
  3. Step 3: Cross multiply
    7,148.90x = 9,865.04 × 4,005.02
  4. Step 4: Simplify right side
    7,148.90x = 39,509,682.50
  5. Step 5: Solve for x
    x = 39,509,682.50/7,148.90
  6. Step 6: Final answer
    x = 5,526.68

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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.