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Finding the Fourth Proportional to 14,510.12, 20,012.64 and 9,728.49

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Solution

The fourth proportional to 14,510.12, 20,012.64 and 9,728.49 is: 13,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.12 : 20,012.64 = 9,728.49 : x
  2. Step 2: Convert to fraction form
    14,510.12/20,012.64 = 9,728.49/x
  3. Step 3: Cross multiply
    14,510.12x = 20,012.64 × 9,728.49
  4. Step 4: Simplify right side
    14,510.12x = 194,692,768.11
  5. Step 5: Solve for x
    x = 194,692,768.11/14,510.12
  6. Step 6: Final answer
    x = 13,417.73

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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.