Home / 1,582.71-2,184.75-1,416.63

Finding the Fourth Proportional to 1,582.71, 2,184.75 and 1,416.63

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Solution

The fourth proportional to 1,582.71, 2,184.75 and 1,416.63 is: 1,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.71 : 2,184.75 = 1,416.63 : x
  2. Step 2: Convert to fraction form
    1,582.71/2,184.75 = 1,416.63/x
  3. Step 3: Cross multiply
    1,582.71x = 2,184.75 × 1,416.63
  4. Step 4: Simplify right side
    1,582.71x = 3,094,982.39
  5. Step 5: Solve for x
    x = 3,094,982.39/1,582.71
  6. Step 6: Final answer
    x = 1,955.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.