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Finding the Fourth Proportional to 7,984.30, 10,938.54 and 7,685.02

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Solution

The fourth proportional to 7,984.30, 10,938.54 and 7,685.02 is: 10,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.30 : 10,938.54 = 7,685.02 : x
  2. Step 2: Convert to fraction form
    7,984.30/10,938.54 = 7,685.02/x
  3. Step 3: Cross multiply
    7,984.30x = 10,938.54 × 7,685.02
  4. Step 4: Simplify right side
    7,984.30x = 84,062,836.41
  5. Step 5: Solve for x
    x = 84,062,836.41/7,984.30
  6. Step 6: Final answer
    x = 10,528.52

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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.