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Finding the Fourth Proportional to 7,681.73, 10,604.06 and 5,165.30

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Solution

The fourth proportional to 7,681.73, 10,604.06 and 5,165.30 is: 7,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.73 : 10,604.06 = 5,165.30 : x
  2. Step 2: Convert to fraction form
    7,681.73/10,604.06 = 5,165.30/x
  3. Step 3: Cross multiply
    7,681.73x = 10,604.06 × 5,165.30
  4. Step 4: Simplify right side
    7,681.73x = 54,773,125.29
  5. Step 5: Solve for x
    x = 54,773,125.29/7,681.73
  6. Step 6: Final answer
    x = 7,130.31

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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.