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Finding the Fourth Proportional to 30,011.64, 45,005 and 11,282

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Solution

The fourth proportional to 30,011.64, 45,005 and 11,282 is: 16,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.64 : 45,005 = 11,282 : x
  2. Step 2: Convert to fraction form
    30,011.64/45,005 = 11,282/x
  3. Step 3: Cross multiply
    30,011.64x = 45,005 × 11,282
  4. Step 4: Simplify right side
    30,011.64x = 507,746,410
  5. Step 5: Solve for x
    x = 507,746,410/30,011.64
  6. Step 6: Final answer
    x = 16,918.32

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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.