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Finding the Fourth Proportional to 11,547.49, 15,912 and 7,963.54

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Solution

The fourth proportional to 11,547.49, 15,912 and 7,963.54 is: 10,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.49 : 15,912 = 7,963.54 : x
  2. Step 2: Convert to fraction form
    11,547.49/15,912 = 7,963.54/x
  3. Step 3: Cross multiply
    11,547.49x = 15,912 × 7,963.54
  4. Step 4: Simplify right side
    11,547.49x = 126,715,848.48
  5. Step 5: Solve for x
    x = 126,715,848.48/11,547.49
  6. Step 6: Final answer
    x = 10,973.45

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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.