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Finding the Fourth Proportional to 10,628, 14,670.48 and 7,325.60

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Solution

The fourth proportional to 10,628, 14,670.48 and 7,325.60 is: 10,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628 : 14,670.48 = 7,325.60 : x
  2. Step 2: Convert to fraction form
    10,628/14,670.48 = 7,325.60/x
  3. Step 3: Cross multiply
    10,628x = 14,670.48 × 7,325.60
  4. Step 4: Simplify right side
    10,628x = 107,470,068.29
  5. Step 5: Solve for x
    x = 107,470,068.29/10,628
  6. Step 6: Final answer
    x = 10,111.97

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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.