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Finding the Fourth Proportional to 7,142.40, 9,838.08 and 5,483.52

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Solution

The fourth proportional to 7,142.40, 9,838.08 and 5,483.52 is: 7,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.40 : 9,838.08 = 5,483.52 : x
  2. Step 2: Convert to fraction form
    7,142.40/9,838.08 = 5,483.52/x
  3. Step 3: Cross multiply
    7,142.40x = 9,838.08 × 5,483.52
  4. Step 4: Simplify right side
    7,142.40x = 53,947,308.44
  5. Step 5: Solve for x
    x = 53,947,308.44/7,142.40
  6. Step 6: Final answer
    x = 7,553.11

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1.5x scale

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.