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Finding the Fourth Proportional to 30,428, 45,642 and 9,651.50

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Solution

The fourth proportional to 30,428, 45,642 and 9,651.50 is: 14,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428 : 45,642 = 9,651.50 : x
  2. Step 2: Convert to fraction form
    30,428/45,642 = 9,651.50/x
  3. Step 3: Cross multiply
    30,428x = 45,642 × 9,651.50
  4. Step 4: Simplify right side
    30,428x = 440,513,763
  5. Step 5: Solve for x
    x = 440,513,763/30,428
  6. Step 6: Final answer
    x = 14,477.25

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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.