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Finding the Fourth Proportional to 34,507.81, 51,769.95 and 12,319.48

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Solution

The fourth proportional to 34,507.81, 51,769.95 and 12,319.48 is: 18,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.81 : 51,769.95 = 12,319.48 : x
  2. Step 2: Convert to fraction form
    34,507.81/51,769.95 = 12,319.48/x
  3. Step 3: Cross multiply
    34,507.81x = 51,769.95 × 12,319.48
  4. Step 4: Simplify right side
    34,507.81x = 637,778,863.63
  5. Step 5: Solve for x
    x = 637,778,863.63/34,507.81
  6. Step 6: Final answer
    x = 18,482.16

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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.