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Finding the Fourth Proportional to 7,602, 10,490.76 and 4,811.28

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Solution

The fourth proportional to 7,602, 10,490.76 and 4,811.28 is: 6,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602 : 10,490.76 = 4,811.28 : x
  2. Step 2: Convert to fraction form
    7,602/10,490.76 = 4,811.28/x
  3. Step 3: Cross multiply
    7,602x = 10,490.76 × 4,811.28
  4. Step 4: Simplify right side
    7,602x = 50,473,983.77
  5. Step 5: Solve for x
    x = 50,473,983.77/7,602
  6. Step 6: Final answer
    x = 6,639.57

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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.