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Finding the Fourth Proportional to 8,969.76, 13,449.76 and 4,814.72

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Solution

The fourth proportional to 8,969.76, 13,449.76 and 4,814.72 is: 7,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.76 : 13,449.76 = 4,814.72 : x
  2. Step 2: Convert to fraction form
    8,969.76/13,449.76 = 4,814.72/x
  3. Step 3: Cross multiply
    8,969.76x = 13,449.76 × 4,814.72
  4. Step 4: Simplify right side
    8,969.76x = 64,756,828.47
  5. Step 5: Solve for x
    x = 64,756,828.47/8,969.76
  6. Step 6: Final answer
    x = 7,219.46

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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.