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Finding the Fourth Proportional to 7,559.76, 10,428.84 and 5,878.20

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Solution

The fourth proportional to 7,559.76, 10,428.84 and 5,878.20 is: 8,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.76 : 10,428.84 = 5,878.20 : x
  2. Step 2: Convert to fraction form
    7,559.76/10,428.84 = 5,878.20/x
  3. Step 3: Cross multiply
    7,559.76x = 10,428.84 × 5,878.20
  4. Step 4: Simplify right side
    7,559.76x = 61,302,807.29
  5. Step 5: Solve for x
    x = 61,302,807.29/7,559.76
  6. Step 6: Final answer
    x = 8,109.09

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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.