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Finding the Fourth Proportional to 10,380.64, 15,581.04 and 9,818.76

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Solution

The fourth proportional to 10,380.64, 15,581.04 and 9,818.76 is: 14,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.64 : 15,581.04 = 9,818.76 : x
  2. Step 2: Convert to fraction form
    10,380.64/15,581.04 = 9,818.76/x
  3. Step 3: Cross multiply
    10,380.64x = 15,581.04 × 9,818.76
  4. Step 4: Simplify right side
    10,380.64x = 152,986,492.31
  5. Step 5: Solve for x
    x = 152,986,492.31/10,380.64
  6. Step 6: Final answer
    x = 14,737.67

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1.5x scale

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.