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Finding the Fourth Proportional to 10,605.78, 15,908.67 and 4,758.30

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Solution

The fourth proportional to 10,605.78, 15,908.67 and 4,758.30 is: 7,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.78 : 15,908.67 = 4,758.30 : x
  2. Step 2: Convert to fraction form
    10,605.78/15,908.67 = 4,758.30/x
  3. Step 3: Cross multiply
    10,605.78x = 15,908.67 × 4,758.30
  4. Step 4: Simplify right side
    10,605.78x = 75,698,224.46
  5. Step 5: Solve for x
    x = 75,698,224.46/10,605.78
  6. Step 6: Final answer
    x = 7,137.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.