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Finding the Fourth Proportional to 11,497.95, 15,864.35 and 7,020.07

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Solution

The fourth proportional to 11,497.95, 15,864.35 and 7,020.07 is: 9,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.95 : 15,864.35 = 7,020.07 : x
  2. Step 2: Convert to fraction form
    11,497.95/15,864.35 = 7,020.07/x
  3. Step 3: Cross multiply
    11,497.95x = 15,864.35 × 7,020.07
  4. Step 4: Simplify right side
    11,497.95x = 111,368,785.73
  5. Step 5: Solve for x
    x = 111,368,785.73/11,497.95
  6. Step 6: Final answer
    x = 9,685.97

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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.