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Finding the Fourth Proportional to 13,538.48, 20,315.48 and 7,298.46

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Solution

The fourth proportional to 13,538.48, 20,315.48 and 7,298.46 is: 10,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.48 : 20,315.48 = 7,298.46 : x
  2. Step 2: Convert to fraction form
    13,538.48/20,315.48 = 7,298.46/x
  3. Step 3: Cross multiply
    13,538.48x = 20,315.48 × 7,298.46
  4. Step 4: Simplify right side
    13,538.48x = 148,271,681.67
  5. Step 5: Solve for x
    x = 148,271,681.67/13,538.48
  6. Step 6: Final answer
    x = 10,951.87

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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.