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Finding the Fourth Proportional to 30,652.88, 45,969.28 and 9,871.52

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Solution

The fourth proportional to 30,652.88, 45,969.28 and 9,871.52 is: 14,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.88 : 45,969.28 = 9,871.52 : x
  2. Step 2: Convert to fraction form
    30,652.88/45,969.28 = 9,871.52/x
  3. Step 3: Cross multiply
    30,652.88x = 45,969.28 × 9,871.52
  4. Step 4: Simplify right side
    30,652.88x = 453,786,666.91
  5. Step 5: Solve for x
    x = 453,786,666.91/30,652.88
  6. Step 6: Final answer
    x = 14,804.05

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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.