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Finding the Fourth Proportional to 30,666.76, 45,994.32 and 9,603.64

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Solution

The fourth proportional to 30,666.76, 45,994.32 and 9,603.64 is: 14,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.76 : 45,994.32 = 9,603.64 : x
  2. Step 2: Convert to fraction form
    30,666.76/45,994.32 = 9,603.64/x
  3. Step 3: Cross multiply
    30,666.76x = 45,994.32 × 9,603.64
  4. Step 4: Simplify right side
    30,666.76x = 441,712,891.32
  5. Step 5: Solve for x
    x = 441,712,891.32/30,666.76
  6. Step 6: Final answer
    x = 14,403.64

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1.5x scale

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.