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Finding the Fourth Proportional to 10,521.88, 15,784.64 and 4,678.94

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Solution

The fourth proportional to 10,521.88, 15,784.64 and 4,678.94 is: 7,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.88 : 15,784.64 = 4,678.94 : x
  2. Step 2: Convert to fraction form
    10,521.88/15,784.64 = 4,678.94/x
  3. Step 3: Cross multiply
    10,521.88x = 15,784.64 × 4,678.94
  4. Step 4: Simplify right side
    10,521.88x = 73,855,383.48
  5. Step 5: Solve for x
    x = 73,855,383.48/10,521.88
  6. Step 6: Final answer
    x = 7,019.22

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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.