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Finding the Fourth Proportional to 7,681.64, 11,478.71 and 5,769.50

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Solution

The fourth proportional to 7,681.64, 11,478.71 and 5,769.50 is: 8,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.64 : 11,478.71 = 5,769.50 : x
  2. Step 2: Convert to fraction form
    7,681.64/11,478.71 = 5,769.50/x
  3. Step 3: Cross multiply
    7,681.64x = 11,478.71 × 5,769.50
  4. Step 4: Simplify right side
    7,681.64x = 66,226,417.35
  5. Step 5: Solve for x
    x = 66,226,417.35/7,681.64
  6. Step 6: Final answer
    x = 8,621.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.