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Finding the Fourth Proportional to 13,644.76, 20,440.38 and 7,075.24

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Solution

The fourth proportional to 13,644.76, 20,440.38 and 7,075.24 is: 10,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.76 : 20,440.38 = 7,075.24 : x
  2. Step 2: Convert to fraction form
    13,644.76/20,440.38 = 7,075.24/x
  3. Step 3: Cross multiply
    13,644.76x = 20,440.38 × 7,075.24
  4. Step 4: Simplify right side
    13,644.76x = 144,620,594.19
  5. Step 5: Solve for x
    x = 144,620,594.19/13,644.76
  6. Step 6: Final answer
    x = 10,598.98

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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.