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Finding the Fourth Proportional to 34,502.65, 51,764.90 and 12,315.53

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Solution

The fourth proportional to 34,502.65, 51,764.90 and 12,315.53 is: 18,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.65 : 51,764.90 = 12,315.53 : x
  2. Step 2: Convert to fraction form
    34,502.65/51,764.90 = 12,315.53/x
  3. Step 3: Cross multiply
    34,502.65x = 51,764.90 × 12,315.53
  4. Step 4: Simplify right side
    34,502.65x = 637,512,178.90
  5. Step 5: Solve for x
    x = 637,512,178.90/34,502.65
  6. Step 6: Final answer
    x = 18,477.19

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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.