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Finding the Fourth Proportional to 7,987.30, 10,942.65 and 7,688.02

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Solution

The fourth proportional to 7,987.30, 10,942.65 and 7,688.02 is: 10,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.30 : 10,942.65 = 7,688.02 : x
  2. Step 2: Convert to fraction form
    7,987.30/10,942.65 = 7,688.02/x
  3. Step 3: Cross multiply
    7,987.30x = 10,942.65 × 7,688.02
  4. Step 4: Simplify right side
    7,987.30x = 84,127,312.05
  5. Step 5: Solve for x
    x = 84,127,312.05/7,987.30
  6. Step 6: Final answer
    x = 10,532.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.