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Finding the Fourth Proportional to 9,031, 13,548.70 and 2,875

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Solution

The fourth proportional to 9,031, 13,548.70 and 2,875 is: 4,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031 : 13,548.70 = 2,875 : x
  2. Step 2: Convert to fraction form
    9,031/13,548.70 = 2,875/x
  3. Step 3: Cross multiply
    9,031x = 13,548.70 × 2,875
  4. Step 4: Simplify right side
    9,031x = 38,952,512.50
  5. Step 5: Solve for x
    x = 38,952,512.50/9,031
  6. Step 6: Final answer
    x = 4,313.20

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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.