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Finding the Fourth Proportional to 6,966.86, 9,618 and 5,381.72

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Solution

The fourth proportional to 6,966.86, 9,618 and 5,381.72 is: 7,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.86 : 9,618 = 5,381.72 : x
  2. Step 2: Convert to fraction form
    6,966.86/9,618 = 5,381.72/x
  3. Step 3: Cross multiply
    6,966.86x = 9,618 × 5,381.72
  4. Step 4: Simplify right side
    6,966.86x = 51,761,382.96
  5. Step 5: Solve for x
    x = 51,761,382.96/6,966.86
  6. Step 6: Final answer
    x = 7,429.66

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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.