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Finding the Fourth Proportional to 10,628.16, 15,943.68 and 9,980.16

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Solution

The fourth proportional to 10,628.16, 15,943.68 and 9,980.16 is: 14,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.16 : 15,943.68 = 9,980.16 : x
  2. Step 2: Convert to fraction form
    10,628.16/15,943.68 = 9,980.16/x
  3. Step 3: Cross multiply
    10,628.16x = 15,943.68 × 9,980.16
  4. Step 4: Simplify right side
    10,628.16x = 159,120,477.39
  5. Step 5: Solve for x
    x = 159,120,477.39/10,628.16
  6. Step 6: Final answer
    x = 14,971.59

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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.