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Finding the Fourth Proportional to 10,038.52, 13,854 and 5,790.34

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Solution

The fourth proportional to 10,038.52, 13,854 and 5,790.34 is: 7,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.52 : 13,854 = 5,790.34 : x
  2. Step 2: Convert to fraction form
    10,038.52/13,854 = 5,790.34/x
  3. Step 3: Cross multiply
    10,038.52x = 13,854 × 5,790.34
  4. Step 4: Simplify right side
    10,038.52x = 80,219,370.36
  5. Step 5: Solve for x
    x = 80,219,370.36/10,038.52
  6. Step 6: Final answer
    x = 7,991.16

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1.5x scale

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.