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Finding the Fourth Proportional to 10,855, 16,282.48 and 7,130.29

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Solution

The fourth proportional to 10,855, 16,282.48 and 7,130.29 is: 10,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855 : 16,282.48 = 7,130.29 : x
  2. Step 2: Convert to fraction form
    10,855/16,282.48 = 7,130.29/x
  3. Step 3: Cross multiply
    10,855x = 16,282.48 × 7,130.29
  4. Step 4: Simplify right side
    10,855x = 116,098,804.32
  5. Step 5: Solve for x
    x = 116,098,804.32/10,855
  6. Step 6: Final answer
    x = 10,695.42

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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.