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Finding the Fourth Proportional to 10,530.94, 14,532.63 and 5,815.21

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Solution

The fourth proportional to 10,530.94, 14,532.63 and 5,815.21 is: 8,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.94 : 14,532.63 = 5,815.21 : x
  2. Step 2: Convert to fraction form
    10,530.94/14,532.63 = 5,815.21/x
  3. Step 3: Cross multiply
    10,530.94x = 14,532.63 × 5,815.21
  4. Step 4: Simplify right side
    10,530.94x = 84,510,295.30
  5. Step 5: Solve for x
    x = 84,510,295.30/10,530.94
  6. Step 6: Final answer
    x = 8,024.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.