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Finding the Fourth Proportional to 30,254, 45,381 and 9,477.50

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Solution

The fourth proportional to 30,254, 45,381 and 9,477.50 is: 14,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254 : 45,381 = 9,477.50 : x
  2. Step 2: Convert to fraction form
    30,254/45,381 = 9,477.50/x
  3. Step 3: Cross multiply
    30,254x = 45,381 × 9,477.50
  4. Step 4: Simplify right side
    30,254x = 430,098,427.50
  5. Step 5: Solve for x
    x = 430,098,427.50/30,254
  6. Step 6: Final answer
    x = 14,216.25

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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.