Home / 1,470.72-2,200.32-981.44

Finding the Fourth Proportional to 1,470.72, 2,200.32 and 981.44

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Solution

The fourth proportional to 1,470.72, 2,200.32 and 981.44 is: 1,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.72 : 2,200.32 = 981.44 : x
  2. Step 2: Convert to fraction form
    1,470.72/2,200.32 = 981.44/x
  3. Step 3: Cross multiply
    1,470.72x = 2,200.32 × 981.44
  4. Step 4: Simplify right side
    1,470.72x = 2,159,482.06
  5. Step 5: Solve for x
    x = 2,159,482.06/1,470.72
  6. Step 6: Final answer
    x = 1,468.32

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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.