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Finding the Fourth Proportional to 11,415.40, 17,123.10 and 7,041.40

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Solution

The fourth proportional to 11,415.40, 17,123.10 and 7,041.40 is: 10,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.40 : 17,123.10 = 7,041.40 : x
  2. Step 2: Convert to fraction form
    11,415.40/17,123.10 = 7,041.40/x
  3. Step 3: Cross multiply
    11,415.40x = 17,123.10 × 7,041.40
  4. Step 4: Simplify right side
    11,415.40x = 120,570,596.34
  5. Step 5: Solve for x
    x = 120,570,596.34/11,415.40
  6. Step 6: Final answer
    x = 10,562.10

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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.