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Finding the Fourth Proportional to 12,507.84, 17,257.58 and 7,470

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Solution

The fourth proportional to 12,507.84, 17,257.58 and 7,470 is: 10,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.84 : 17,257.58 = 7,470 : x
  2. Step 2: Convert to fraction form
    12,507.84/17,257.58 = 7,470/x
  3. Step 3: Cross multiply
    12,507.84x = 17,257.58 × 7,470
  4. Step 4: Simplify right side
    12,507.84x = 128,914,122.60
  5. Step 5: Solve for x
    x = 128,914,122.60/12,507.84
  6. Step 6: Final answer
    x = 10,306.67

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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.