Home / 1,521.72-2,282.58-974.16

Finding the Fourth Proportional to 1,521.72, 2,282.58 and 974.16

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Solution

The fourth proportional to 1,521.72, 2,282.58 and 974.16 is: 1,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.72 : 2,282.58 = 974.16 : x
  2. Step 2: Convert to fraction form
    1,521.72/2,282.58 = 974.16/x
  3. Step 3: Cross multiply
    1,521.72x = 2,282.58 × 974.16
  4. Step 4: Simplify right side
    1,521.72x = 2,223,598.13
  5. Step 5: Solve for x
    x = 2,223,598.13/1,521.72
  6. Step 6: Final answer
    x = 1,461.24

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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.