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Finding the Fourth Proportional to 15,484, 21,368.31 and 8,410.42

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Solution

The fourth proportional to 15,484, 21,368.31 and 8,410.42 is: 11,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,484 : 21,368.31 = 8,410.42 : x
  2. Step 2: Convert to fraction form
    15,484/21,368.31 = 8,410.42/x
  3. Step 3: Cross multiply
    15,484x = 21,368.31 × 8,410.42
  4. Step 4: Simplify right side
    15,484x = 179,716,461.79
  5. Step 5: Solve for x
    x = 179,716,461.79/15,484
  6. Step 6: Final answer
    x = 11,606.59

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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.