Home / 1,547.08-2,315.94-998.16

Finding the Fourth Proportional to 1,547.08, 2,315.94 and 998.16

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Solution

The fourth proportional to 1,547.08, 2,315.94 and 998.16 is: 1,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.08 : 2,315.94 = 998.16 : x
  2. Step 2: Convert to fraction form
    1,547.08/2,315.94 = 998.16/x
  3. Step 3: Cross multiply
    1,547.08x = 2,315.94 × 998.16
  4. Step 4: Simplify right side
    1,547.08x = 2,311,678.67
  5. Step 5: Solve for x
    x = 2,311,678.67/1,547.08
  6. Step 6: Final answer
    x = 1,494.22

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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.