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Finding the Fourth Proportional to 15,528, 21,428.64 and 8,454

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Solution

The fourth proportional to 15,528, 21,428.64 and 8,454 is: 11,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528 : 21,428.64 = 8,454 : x
  2. Step 2: Convert to fraction form
    15,528/21,428.64 = 8,454/x
  3. Step 3: Cross multiply
    15,528x = 21,428.64 × 8,454
  4. Step 4: Simplify right side
    15,528x = 181,157,722.56
  5. Step 5: Solve for x
    x = 181,157,722.56/15,528
  6. Step 6: Final answer
    x = 11,666.52

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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.