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Finding the Fourth Proportional to 4,752.61, 7,124.13 and 1,980.82

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Solution

The fourth proportional to 4,752.61, 7,124.13 and 1,980.82 is: 2,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.61 : 7,124.13 = 1,980.82 : x
  2. Step 2: Convert to fraction form
    4,752.61/7,124.13 = 1,980.82/x
  3. Step 3: Cross multiply
    4,752.61x = 7,124.13 × 1,980.82
  4. Step 4: Simplify right side
    4,752.61x = 14,111,588.02
  5. Step 5: Solve for x
    x = 14,111,588.02/4,752.61
  6. Step 6: Final answer
    x = 2,969.23

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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.