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Finding the Fourth Proportional to 7,295.40, 10,943.10 and 5,424.30

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Solution

The fourth proportional to 7,295.40, 10,943.10 and 5,424.30 is: 8,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.40 : 10,943.10 = 5,424.30 : x
  2. Step 2: Convert to fraction form
    7,295.40/10,943.10 = 5,424.30/x
  3. Step 3: Cross multiply
    7,295.40x = 10,943.10 × 5,424.30
  4. Step 4: Simplify right side
    7,295.40x = 59,358,657.33
  5. Step 5: Solve for x
    x = 59,358,657.33/7,295.40
  6. Step 6: Final answer
    x = 8,136.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.