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Finding the Fourth Proportional to 7,089.74, 9,784.28 and 5,908.76

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Solution

The fourth proportional to 7,089.74, 9,784.28 and 5,908.76 is: 8,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.74 : 9,784.28 = 5,908.76 : x
  2. Step 2: Convert to fraction form
    7,089.74/9,784.28 = 5,908.76/x
  3. Step 3: Cross multiply
    7,089.74x = 9,784.28 × 5,908.76
  4. Step 4: Simplify right side
    7,089.74x = 57,812,964.83
  5. Step 5: Solve for x
    x = 57,812,964.83/7,089.74
  6. Step 6: Final answer
    x = 8,154.46

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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.