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Finding the Fourth Proportional to 7,913.44, 11,870.30 and 6,521.32

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Solution

The fourth proportional to 7,913.44, 11,870.30 and 6,521.32 is: 9,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.44 : 11,870.30 = 6,521.32 : x
  2. Step 2: Convert to fraction form
    7,913.44/11,870.30 = 6,521.32/x
  3. Step 3: Cross multiply
    7,913.44x = 11,870.30 × 6,521.32
  4. Step 4: Simplify right side
    7,913.44x = 77,410,024.80
  5. Step 5: Solve for x
    x = 77,410,024.80/7,913.44
  6. Step 6: Final answer
    x = 9,782.10

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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.