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Finding the Fourth Proportional to 13,509.51, 20,264.25 and 7,509.41

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Solution

The fourth proportional to 13,509.51, 20,264.25 and 7,509.41 is: 11,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.51 : 20,264.25 = 7,509.41 : x
  2. Step 2: Convert to fraction form
    13,509.51/20,264.25 = 7,509.41/x
  3. Step 3: Cross multiply
    13,509.51x = 20,264.25 × 7,509.41
  4. Step 4: Simplify right side
    13,509.51x = 152,172,460.27
  5. Step 5: Solve for x
    x = 152,172,460.27/13,509.51
  6. Step 6: Final answer
    x = 11,264.10

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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.