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Finding the Fourth Proportional to 10,508.67, 14,501.75 and 5,728.65

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Solution

The fourth proportional to 10,508.67, 14,501.75 and 5,728.65 is: 7,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.67 : 14,501.75 = 5,728.65 : x
  2. Step 2: Convert to fraction form
    10,508.67/14,501.75 = 5,728.65/x
  3. Step 3: Cross multiply
    10,508.67x = 14,501.75 × 5,728.65
  4. Step 4: Simplify right side
    10,508.67x = 83,075,450.14
  5. Step 5: Solve for x
    x = 83,075,450.14/10,508.67
  6. Step 6: Final answer
    x = 7,905.42

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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.