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Finding the Fourth Proportional to 13,509.98, 18,643.68 and 7,541.30

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Solution

The fourth proportional to 13,509.98, 18,643.68 and 7,541.30 is: 10,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.98 : 18,643.68 = 7,541.30 : x
  2. Step 2: Convert to fraction form
    13,509.98/18,643.68 = 7,541.30/x
  3. Step 3: Cross multiply
    13,509.98x = 18,643.68 × 7,541.30
  4. Step 4: Simplify right side
    13,509.98x = 140,597,583.98
  5. Step 5: Solve for x
    x = 140,597,583.98/13,509.98
  6. Step 6: Final answer
    x = 10,406.94

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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.