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Finding the Fourth Proportional to 4,807.67, 7,211.47 and 1,521.10

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Solution

The fourth proportional to 4,807.67, 7,211.47 and 1,521.10 is: 2,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.67 : 7,211.47 = 1,521.10 : x
  2. Step 2: Convert to fraction form
    4,807.67/7,211.47 = 1,521.10/x
  3. Step 3: Cross multiply
    4,807.67x = 7,211.47 × 1,521.10
  4. Step 4: Simplify right side
    4,807.67x = 10,969,367.02
  5. Step 5: Solve for x
    x = 10,969,367.02/4,807.67
  6. Step 6: Final answer
    x = 2,281.64

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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.