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Finding the Fourth Proportional to 30,468.64, 45,700.08 and 9,688.48

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Solution

The fourth proportional to 30,468.64, 45,700.08 and 9,688.48 is: 14,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.64 : 45,700.08 = 9,688.48 : x
  2. Step 2: Convert to fraction form
    30,468.64/45,700.08 = 9,688.48/x
  3. Step 3: Cross multiply
    30,468.64x = 45,700.08 × 9,688.48
  4. Step 4: Simplify right side
    30,468.64x = 442,764,311.08
  5. Step 5: Solve for x
    x = 442,764,311.08/30,468.64
  6. Step 6: Final answer
    x = 14,531.80

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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.