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Finding the Fourth Proportional to 8,407, 11,602.47 and 4,681

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Solution

The fourth proportional to 8,407, 11,602.47 and 4,681 is: 6,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407 : 11,602.47 = 4,681 : x
  2. Step 2: Convert to fraction form
    8,407/11,602.47 = 4,681/x
  3. Step 3: Cross multiply
    8,407x = 11,602.47 × 4,681
  4. Step 4: Simplify right side
    8,407x = 54,311,162.07
  5. Step 5: Solve for x
    x = 54,311,162.07/8,407
  6. Step 6: Final answer
    x = 6,460.23

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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.