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Finding the Fourth Proportional to 30,470.64, 45,703.08 and 9,690.48

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Solution

The fourth proportional to 30,470.64, 45,703.08 and 9,690.48 is: 14,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.64 : 45,703.08 = 9,690.48 : x
  2. Step 2: Convert to fraction form
    30,470.64/45,703.08 = 9,690.48/x
  3. Step 3: Cross multiply
    30,470.64x = 45,703.08 × 9,690.48
  4. Step 4: Simplify right side
    30,470.64x = 442,884,782.68
  5. Step 5: Solve for x
    x = 442,884,782.68/30,470.64
  6. Step 6: Final answer
    x = 14,534.80

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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.