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Finding the Fourth Proportional to 30,423, 45,643.14 and 9,647.04

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Solution

The fourth proportional to 30,423, 45,643.14 and 9,647.04 is: 14,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423 : 45,643.14 = 9,647.04 : x
  2. Step 2: Convert to fraction form
    30,423/45,643.14 = 9,647.04/x
  3. Step 3: Cross multiply
    30,423x = 45,643.14 × 9,647.04
  4. Step 4: Simplify right side
    30,423x = 440,321,197.31
  5. Step 5: Solve for x
    x = 440,321,197.31/30,423
  6. Step 6: Final answer
    x = 14,473.30

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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.