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Finding the Fourth Proportional to 14,510.65, 20,021.20 and 9,203.53

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Solution

The fourth proportional to 14,510.65, 20,021.20 and 9,203.53 is: 12,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.65 : 20,021.20 = 9,203.53 : x
  2. Step 2: Convert to fraction form
    14,510.65/20,021.20 = 9,203.53/x
  3. Step 3: Cross multiply
    14,510.65x = 20,021.20 × 9,203.53
  4. Step 4: Simplify right side
    14,510.65x = 184,265,714.84
  5. Step 5: Solve for x
    x = 184,265,714.84/14,510.65
  6. Step 6: Final answer
    x = 12,698.65

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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.