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Finding the Fourth Proportional to 7,534.64, 10,400 and 4,881.92

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Solution

The fourth proportional to 7,534.64, 10,400 and 4,881.92 is: 6,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.64 : 10,400 = 4,881.92 : x
  2. Step 2: Convert to fraction form
    7,534.64/10,400 = 4,881.92/x
  3. Step 3: Cross multiply
    7,534.64x = 10,400 × 4,881.92
  4. Step 4: Simplify right side
    7,534.64x = 50,771,968
  5. Step 5: Solve for x
    x = 50,771,968/7,534.64
  6. Step 6: Final answer
    x = 6,738.47

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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.