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Finding the Fourth Proportional to 10,039.57, 15,038.90 and 4,758.57

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Solution

The fourth proportional to 10,039.57, 15,038.90 and 4,758.57 is: 7,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.57 : 15,038.90 = 4,758.57 : x
  2. Step 2: Convert to fraction form
    10,039.57/15,038.90 = 4,758.57/x
  3. Step 3: Cross multiply
    10,039.57x = 15,038.90 × 4,758.57
  4. Step 4: Simplify right side
    10,039.57x = 71,563,596.98
  5. Step 5: Solve for x
    x = 71,563,596.98/10,039.57
  6. Step 6: Final answer
    x = 7,128.16

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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.