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Finding the Fourth Proportional to 4,752.24, 7,124.50 and 1,980.98

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Solution

The fourth proportional to 4,752.24, 7,124.50 and 1,980.98 is: 2,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.24 : 7,124.50 = 1,980.98 : x
  2. Step 2: Convert to fraction form
    4,752.24/7,124.50 = 1,980.98/x
  3. Step 3: Cross multiply
    4,752.24x = 7,124.50 × 1,980.98
  4. Step 4: Simplify right side
    4,752.24x = 14,113,492.01
  5. Step 5: Solve for x
    x = 14,113,492.01/4,752.24
  6. Step 6: Final answer
    x = 2,969.86

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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.