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Finding the Fourth Proportional to 30,507.21, 45,748.49 and 9,442.31

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Solution

The fourth proportional to 30,507.21, 45,748.49 and 9,442.31 is: 14,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.21 : 45,748.49 = 9,442.31 : x
  2. Step 2: Convert to fraction form
    30,507.21/45,748.49 = 9,442.31/x
  3. Step 3: Cross multiply
    30,507.21x = 45,748.49 × 9,442.31
  4. Step 4: Simplify right side
    30,507.21x = 431,971,148.66
  5. Step 5: Solve for x
    x = 431,971,148.66/30,507.21
  6. Step 6: Final answer
    x = 14,159.64

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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.