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Finding the Fourth Proportional to 9,278.91, 12,798.47 and 5,740.02

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Solution

The fourth proportional to 9,278.91, 12,798.47 and 5,740.02 is: 7,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.91 : 12,798.47 = 5,740.02 : x
  2. Step 2: Convert to fraction form
    9,278.91/12,798.47 = 5,740.02/x
  3. Step 3: Cross multiply
    9,278.91x = 12,798.47 × 5,740.02
  4. Step 4: Simplify right side
    9,278.91x = 73,463,488.12
  5. Step 5: Solve for x
    x = 73,463,488.12/9,278.91
  6. Step 6: Final answer
    x = 7,917.25

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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.