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Finding the Fourth Proportional to 7,654, 10,561.20 and 4,510.80

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Solution

The fourth proportional to 7,654, 10,561.20 and 4,510.80 is: 6,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654 : 10,561.20 = 4,510.80 : x
  2. Step 2: Convert to fraction form
    7,654/10,561.20 = 4,510.80/x
  3. Step 3: Cross multiply
    7,654x = 10,561.20 × 4,510.80
  4. Step 4: Simplify right side
    7,654x = 47,639,460.96
  5. Step 5: Solve for x
    x = 47,639,460.96/7,654
  6. Step 6: Final answer
    x = 6,224.13

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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.