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Finding the Fourth Proportional to 7,128.81, 9,838.40 and 4,734.55

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Solution

The fourth proportional to 7,128.81, 9,838.40 and 4,734.55 is: 6,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.81 : 9,838.40 = 4,734.55 : x
  2. Step 2: Convert to fraction form
    7,128.81/9,838.40 = 4,734.55/x
  3. Step 3: Cross multiply
    7,128.81x = 9,838.40 × 4,734.55
  4. Step 4: Simplify right side
    7,128.81x = 46,580,385.35
  5. Step 5: Solve for x
    x = 46,580,385.35/7,128.81
  6. Step 6: Final answer
    x = 6,534.10

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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.