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Finding the Fourth Proportional to 13,685.76, 20,490 and 10,412.16

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Solution

The fourth proportional to 13,685.76, 20,490 and 10,412.16 is: 15,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.76 : 20,490 = 10,412.16 : x
  2. Step 2: Convert to fraction form
    13,685.76/20,490 = 10,412.16/x
  3. Step 3: Cross multiply
    13,685.76x = 20,490 × 10,412.16
  4. Step 4: Simplify right side
    13,685.76x = 213,345,158.40
  5. Step 5: Solve for x
    x = 213,345,158.40/13,685.76
  6. Step 6: Final answer
    x = 15,588.84

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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.