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Finding the Fourth Proportional to 4,984.76, 7,477.12 and 1,865

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Solution

The fourth proportional to 4,984.76, 7,477.12 and 1,865 is: 2,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.76 : 7,477.12 = 1,865 : x
  2. Step 2: Convert to fraction form
    4,984.76/7,477.12 = 1,865/x
  3. Step 3: Cross multiply
    4,984.76x = 7,477.12 × 1,865
  4. Step 4: Simplify right side
    4,984.76x = 13,944,828.80
  5. Step 5: Solve for x
    x = 13,944,828.80/4,984.76
  6. Step 6: Final answer
    x = 2,797.49

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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.