Home / 2,970.29-4,450.56-1,582.16

Finding the Fourth Proportional to 2,970.29, 4,450.56 and 1,582.16

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Solution

The fourth proportional to 2,970.29, 4,450.56 and 1,582.16 is: 2,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.29 : 4,450.56 = 1,582.16 : x
  2. Step 2: Convert to fraction form
    2,970.29/4,450.56 = 1,582.16/x
  3. Step 3: Cross multiply
    2,970.29x = 4,450.56 × 1,582.16
  4. Step 4: Simplify right side
    2,970.29x = 7,041,475.76
  5. Step 5: Solve for x
    x = 7,041,475.76/2,970.29
  6. Step 6: Final answer
    x = 2,370.64

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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.