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Finding the Fourth Proportional to 30,666.16, 45,993.42 and 9,603

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Solution

The fourth proportional to 30,666.16, 45,993.42 and 9,603 is: 14,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.16 : 45,993.42 = 9,603 : x
  2. Step 2: Convert to fraction form
    30,666.16/45,993.42 = 9,603/x
  3. Step 3: Cross multiply
    30,666.16x = 45,993.42 × 9,603
  4. Step 4: Simplify right side
    30,666.16x = 441,674,812.26
  5. Step 5: Solve for x
    x = 441,674,812.26/30,666.16
  6. Step 6: Final answer
    x = 14,402.68

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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.