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Finding the Fourth Proportional to 9,281.32, 12,810.62 and 5,742.44

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Solution

The fourth proportional to 9,281.32, 12,810.62 and 5,742.44 is: 7,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.32 : 12,810.62 = 5,742.44 : x
  2. Step 2: Convert to fraction form
    9,281.32/12,810.62 = 5,742.44/x
  3. Step 3: Cross multiply
    9,281.32x = 12,810.62 × 5,742.44
  4. Step 4: Simplify right side
    9,281.32x = 73,564,216.71
  5. Step 5: Solve for x
    x = 73,564,216.71/9,281.32
  6. Step 6: Final answer
    x = 7,926.05

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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.