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Finding the Fourth Proportional to 30,305.71, 45,465.90 and 10,315

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Solution

The fourth proportional to 30,305.71, 45,465.90 and 10,315 is: 15,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305.71 : 45,465.90 = 10,315 : x
  2. Step 2: Convert to fraction form
    30,305.71/45,465.90 = 10,315/x
  3. Step 3: Cross multiply
    30,305.71x = 45,465.90 × 10,315
  4. Step 4: Simplify right side
    30,305.71x = 468,980,758.50
  5. Step 5: Solve for x
    x = 468,980,758.50/30,305.71
  6. Step 6: Final answer
    x = 15,475.00

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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.