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Finding the Fourth Proportional to 6,509.65, 8,977.88 and 4,269.80

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Solution

The fourth proportional to 6,509.65, 8,977.88 and 4,269.80 is: 5,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.65 : 8,977.88 = 4,269.80 : x
  2. Step 2: Convert to fraction form
    6,509.65/8,977.88 = 4,269.80/x
  3. Step 3: Cross multiply
    6,509.65x = 8,977.88 × 4,269.80
  4. Step 4: Simplify right side
    6,509.65x = 38,333,752.02
  5. Step 5: Solve for x
    x = 38,333,752.02/6,509.65
  6. Step 6: Final answer
    x = 5,888.76

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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.