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Finding the Fourth Proportional to 14,528, 20,048.64 and 7,904

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Solution

The fourth proportional to 14,528, 20,048.64 and 7,904 is: 10,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,528 : 20,048.64 = 7,904 : x
  2. Step 2: Convert to fraction form
    14,528/20,048.64 = 7,904/x
  3. Step 3: Cross multiply
    14,528x = 20,048.64 × 7,904
  4. Step 4: Simplify right side
    14,528x = 158,464,450.56
  5. Step 5: Solve for x
    x = 158,464,450.56/14,528
  6. Step 6: Final answer
    x = 10,907.52

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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.