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Finding the Fourth Proportional to 18,873.76, 28,312.56 and 7,785.12

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Solution

The fourth proportional to 18,873.76, 28,312.56 and 7,785.12 is: 11,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,873.76 : 28,312.56 = 7,785.12 : x
  2. Step 2: Convert to fraction form
    18,873.76/28,312.56 = 7,785.12/x
  3. Step 3: Cross multiply
    18,873.76x = 28,312.56 × 7,785.12
  4. Step 4: Simplify right side
    18,873.76x = 220,416,677.11
  5. Step 5: Solve for x
    x = 220,416,677.11/18,873.76
  6. Step 6: Final answer
    x = 11,678.47

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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.