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Finding the Fourth Proportional to 13,510.32, 20,240.16 and 7,947.03

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Solution

The fourth proportional to 13,510.32, 20,240.16 and 7,947.03 is: 11,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.32 : 20,240.16 = 7,947.03 : x
  2. Step 2: Convert to fraction form
    13,510.32/20,240.16 = 7,947.03/x
  3. Step 3: Cross multiply
    13,510.32x = 20,240.16 × 7,947.03
  4. Step 4: Simplify right side
    13,510.32x = 160,849,158.72
  5. Step 5: Solve for x
    x = 160,849,158.72/13,510.32
  6. Step 6: Final answer
    x = 11,905.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.