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Finding the Fourth Proportional to 6,877.52, 9,491.76 and 6,455.28

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Solution

The fourth proportional to 6,877.52, 9,491.76 and 6,455.28 is: 8,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.52 : 9,491.76 = 6,455.28 : x
  2. Step 2: Convert to fraction form
    6,877.52/9,491.76 = 6,455.28/x
  3. Step 3: Cross multiply
    6,877.52x = 9,491.76 × 6,455.28
  4. Step 4: Simplify right side
    6,877.52x = 61,271,968.49
  5. Step 5: Solve for x
    x = 61,271,968.49/6,877.52
  6. Step 6: Final answer
    x = 8,909.03

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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.