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Finding the Fourth Proportional to 12,405, 18,602.64 and 5,008.08

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Solution

The fourth proportional to 12,405, 18,602.64 and 5,008.08 is: 7,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 18,602.64 = 5,008.08 : x
  2. Step 2: Convert to fraction form
    12,405/18,602.64 = 5,008.08/x
  3. Step 3: Cross multiply
    12,405x = 18,602.64 × 5,008.08
  4. Step 4: Simplify right side
    12,405x = 93,163,509.33
  5. Step 5: Solve for x
    x = 93,163,509.33/12,405
  6. Step 6: Final answer
    x = 7,510.16

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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.