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Finding the Fourth Proportional to 30,639.12, 45,949.08 and 9,858

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Solution

The fourth proportional to 30,639.12, 45,949.08 and 9,858 is: 14,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639.12 : 45,949.08 = 9,858 : x
  2. Step 2: Convert to fraction form
    30,639.12/45,949.08 = 9,858/x
  3. Step 3: Cross multiply
    30,639.12x = 45,949.08 × 9,858
  4. Step 4: Simplify right side
    30,639.12x = 452,966,030.64
  5. Step 5: Solve for x
    x = 452,966,030.64/30,639.12
  6. Step 6: Final answer
    x = 14,783.91

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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.