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Finding the Fourth Proportional to 30,507.12, 45,762.30 and 9,729

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Solution

The fourth proportional to 30,507.12, 45,762.30 and 9,729 is: 14,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.12 : 45,762.30 = 9,729 : x
  2. Step 2: Convert to fraction form
    30,507.12/45,762.30 = 9,729/x
  3. Step 3: Cross multiply
    30,507.12x = 45,762.30 × 9,729
  4. Step 4: Simplify right side
    30,507.12x = 445,221,416.70
  5. Step 5: Solve for x
    x = 445,221,416.70/30,507.12
  6. Step 6: Final answer
    x = 14,594.02

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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.