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Finding the Fourth Proportional to 15,126.84, 20,875.05 and 8,412.46

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Solution

The fourth proportional to 15,126.84, 20,875.05 and 8,412.46 is: 11,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.84 : 20,875.05 = 8,412.46 : x
  2. Step 2: Convert to fraction form
    15,126.84/20,875.05 = 8,412.46/x
  3. Step 3: Cross multiply
    15,126.84x = 20,875.05 × 8,412.46
  4. Step 4: Simplify right side
    15,126.84x = 175,610,626.17
  5. Step 5: Solve for x
    x = 175,610,626.17/15,126.84
  6. Step 6: Final answer
    x = 11,609.21

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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.