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Finding the Fourth Proportional to 12,852.36, 17,736.39 and 7,547.28

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Solution

The fourth proportional to 12,852.36, 17,736.39 and 7,547.28 is: 10,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.36 : 17,736.39 = 7,547.28 : x
  2. Step 2: Convert to fraction form
    12,852.36/17,736.39 = 7,547.28/x
  3. Step 3: Cross multiply
    12,852.36x = 17,736.39 × 7,547.28
  4. Step 4: Simplify right side
    12,852.36x = 133,861,501.52
  5. Step 5: Solve for x
    x = 133,861,501.52/12,852.36
  6. Step 6: Final answer
    x = 10,415.32

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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.