Home / 1,547.12-2,309.30-1,417.26

Finding the Fourth Proportional to 1,547.12, 2,309.30 and 1,417.26

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Solution

The fourth proportional to 1,547.12, 2,309.30 and 1,417.26 is: 2,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.12 : 2,309.30 = 1,417.26 : x
  2. Step 2: Convert to fraction form
    1,547.12/2,309.30 = 1,417.26/x
  3. Step 3: Cross multiply
    1,547.12x = 2,309.30 × 1,417.26
  4. Step 4: Simplify right side
    1,547.12x = 3,272,878.52
  5. Step 5: Solve for x
    x = 3,272,878.52/1,547.12
  6. Step 6: Final answer
    x = 2,115.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.