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Finding the Fourth Proportional to 10,053, 15,079.50 and 3,477.42

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Solution

The fourth proportional to 10,053, 15,079.50 and 3,477.42 is: 5,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053 : 15,079.50 = 3,477.42 : x
  2. Step 2: Convert to fraction form
    10,053/15,079.50 = 3,477.42/x
  3. Step 3: Cross multiply
    10,053x = 15,079.50 × 3,477.42
  4. Step 4: Simplify right side
    10,053x = 52,437,754.89
  5. Step 5: Solve for x
    x = 52,437,754.89/10,053
  6. Step 6: Final answer
    x = 5,216.13

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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.