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Finding the Fourth Proportional to 9,413, 14,120.34 and 2,487.50

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Solution

The fourth proportional to 9,413, 14,120.34 and 2,487.50 is: 3,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413 : 14,120.34 = 2,487.50 : x
  2. Step 2: Convert to fraction form
    9,413/14,120.34 = 2,487.50/x
  3. Step 3: Cross multiply
    9,413x = 14,120.34 × 2,487.50
  4. Step 4: Simplify right side
    9,413x = 35,124,345.75
  5. Step 5: Solve for x
    x = 35,124,345.75/9,413
  6. Step 6: Final answer
    x = 3,731.47

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1.5x scale

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.