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Finding the Fourth Proportional to 13,509.39, 18,642.98 and 7,541.06

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Solution

The fourth proportional to 13,509.39, 18,642.98 and 7,541.06 is: 10,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.39 : 18,642.98 = 7,541.06 : x
  2. Step 2: Convert to fraction form
    13,509.39/18,642.98 = 7,541.06/x
  3. Step 3: Cross multiply
    13,509.39x = 18,642.98 × 7,541.06
  4. Step 4: Simplify right side
    13,509.39x = 140,587,699.84
  5. Step 5: Solve for x
    x = 140,587,699.84/13,509.39
  6. Step 6: Final answer
    x = 10,406.67

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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.