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Finding the Fourth Proportional to 30,203.60, 45,281.26 and 10,472

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Solution

The fourth proportional to 30,203.60, 45,281.26 and 10,472 is: 15,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.60 : 45,281.26 = 10,472 : x
  2. Step 2: Convert to fraction form
    30,203.60/45,281.26 = 10,472/x
  3. Step 3: Cross multiply
    30,203.60x = 45,281.26 × 10,472
  4. Step 4: Simplify right side
    30,203.60x = 474,185,354.72
  5. Step 5: Solve for x
    x = 474,185,354.72/30,203.60
  6. Step 6: Final answer
    x = 15,699.63

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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.