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Finding the Fourth Proportional to 6,877.98, 9,497.94 and 6,509.70

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Solution

The fourth proportional to 6,877.98, 9,497.94 and 6,509.70 is: 8,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.98 : 9,497.94 = 6,509.70 : x
  2. Step 2: Convert to fraction form
    6,877.98/9,497.94 = 6,509.70/x
  3. Step 3: Cross multiply
    6,877.98x = 9,497.94 × 6,509.70
  4. Step 4: Simplify right side
    6,877.98x = 61,828,740.02
  5. Step 5: Solve for x
    x = 61,828,740.02/6,877.98
  6. Step 6: Final answer
    x = 8,989.37

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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.