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Finding the Fourth Proportional to 7,054.76, 9,663.77 and 6,977

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Solution

The fourth proportional to 7,054.76, 9,663.77 and 6,977 is: 9,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.76 : 9,663.77 = 6,977 : x
  2. Step 2: Convert to fraction form
    7,054.76/9,663.77 = 6,977/x
  3. Step 3: Cross multiply
    7,054.76x = 9,663.77 × 6,977
  4. Step 4: Simplify right side
    7,054.76x = 67,424,123.29
  5. Step 5: Solve for x
    x = 67,424,123.29/7,054.76
  6. Step 6: Final answer
    x = 9,557.25

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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.