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Finding the Fourth Proportional to 7,685.49, 10,604.10 and 4,700.25

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Solution

The fourth proportional to 7,685.49, 10,604.10 and 4,700.25 is: 6,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.49 : 10,604.10 = 4,700.25 : x
  2. Step 2: Convert to fraction form
    7,685.49/10,604.10 = 4,700.25/x
  3. Step 3: Cross multiply
    7,685.49x = 10,604.10 × 4,700.25
  4. Step 4: Simplify right side
    7,685.49x = 49,841,921.03
  5. Step 5: Solve for x
    x = 49,841,921.03/7,685.49
  6. Step 6: Final answer
    x = 6,485.20

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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.