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Finding the Fourth Proportional to 11,392.95, 15,721.73 and 8,407.70

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Solution

The fourth proportional to 11,392.95, 15,721.73 and 8,407.70 is: 11,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.95 : 15,721.73 = 8,407.70 : x
  2. Step 2: Convert to fraction form
    11,392.95/15,721.73 = 8,407.70/x
  3. Step 3: Cross multiply
    11,392.95x = 15,721.73 × 8,407.70
  4. Step 4: Simplify right side
    11,392.95x = 132,183,510.71
  5. Step 5: Solve for x
    x = 132,183,510.71/11,392.95
  6. Step 6: Final answer
    x = 11,602.22

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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.