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Finding the Fourth Proportional to 10,581.64, 15,860.14 and 8,503.99

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Solution

The fourth proportional to 10,581.64, 15,860.14 and 8,503.99 is: 12,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.64 : 15,860.14 = 8,503.99 : x
  2. Step 2: Convert to fraction form
    10,581.64/15,860.14 = 8,503.99/x
  3. Step 3: Cross multiply
    10,581.64x = 15,860.14 × 8,503.99
  4. Step 4: Simplify right side
    10,581.64x = 134,874,411.05
  5. Step 5: Solve for x
    x = 134,874,411.05/10,581.64
  6. Step 6: Final answer
    x = 12,746.08

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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.