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Finding the Fourth Proportional to 12,765.52, 17,618 and 7,176.52

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Solution

The fourth proportional to 12,765.52, 17,618 and 7,176.52 is: 9,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.52 : 17,618 = 7,176.52 : x
  2. Step 2: Convert to fraction form
    12,765.52/17,618 = 7,176.52/x
  3. Step 3: Cross multiply
    12,765.52x = 17,618 × 7,176.52
  4. Step 4: Simplify right side
    12,765.52x = 126,435,929.36
  5. Step 5: Solve for x
    x = 126,435,929.36/12,765.52
  6. Step 6: Final answer
    x = 9,904.49

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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.