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Finding the Fourth Proportional to 12,509.69, 17,262.75 and 6,844.55

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Solution

The fourth proportional to 12,509.69, 17,262.75 and 6,844.55 is: 9,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.69 : 17,262.75 = 6,844.55 : x
  2. Step 2: Convert to fraction form
    12,509.69/17,262.75 = 6,844.55/x
  3. Step 3: Cross multiply
    12,509.69x = 17,262.75 × 6,844.55
  4. Step 4: Simplify right side
    12,509.69x = 118,155,755.51
  5. Step 5: Solve for x
    x = 118,155,755.51/12,509.69
  6. Step 6: Final answer
    x = 9,445.14

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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.