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Finding the Fourth Proportional to 13,510.01, 20,265 and 7,509.90

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Solution

The fourth proportional to 13,510.01, 20,265 and 7,509.90 is: 11,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.01 : 20,265 = 7,509.90 : x
  2. Step 2: Convert to fraction form
    13,510.01/20,265 = 7,509.90/x
  3. Step 3: Cross multiply
    13,510.01x = 20,265 × 7,509.90
  4. Step 4: Simplify right side
    13,510.01x = 152,188,123.50
  5. Step 5: Solve for x
    x = 152,188,123.50/13,510.01
  6. Step 6: Final answer
    x = 11,264.84

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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.