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Finding the Fourth Proportional to 9,281, 12,807.78 and 5,089.28

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Solution

The fourth proportional to 9,281, 12,807.78 and 5,089.28 is: 7,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281 : 12,807.78 = 5,089.28 : x
  2. Step 2: Convert to fraction form
    9,281/12,807.78 = 5,089.28/x
  3. Step 3: Cross multiply
    9,281x = 12,807.78 × 5,089.28
  4. Step 4: Simplify right side
    9,281x = 65,182,378.60
  5. Step 5: Solve for x
    x = 65,182,378.60/9,281
  6. Step 6: Final answer
    x = 7,023.21

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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.