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Finding the Fourth Proportional to 30,253.80, 45,381.98 and 9,477.48

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Solution

The fourth proportional to 30,253.80, 45,381.98 and 9,477.48 is: 14,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.80 : 45,381.98 = 9,477.48 : x
  2. Step 2: Convert to fraction form
    30,253.80/45,381.98 = 9,477.48/x
  3. Step 3: Cross multiply
    30,253.80x = 45,381.98 × 9,477.48
  4. Step 4: Simplify right side
    30,253.80x = 430,106,807.81
  5. Step 5: Solve for x
    x = 430,106,807.81/30,253.80
  6. Step 6: Final answer
    x = 14,216.62

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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.