Home / 1,037.12-1,547.67-926.25

Finding the Fourth Proportional to 1,037.12, 1,547.67 and 926.25

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Solution

The fourth proportional to 1,037.12, 1,547.67 and 926.25 is: 1,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.12 : 1,547.67 = 926.25 : x
  2. Step 2: Convert to fraction form
    1,037.12/1,547.67 = 926.25/x
  3. Step 3: Cross multiply
    1,037.12x = 1,547.67 × 926.25
  4. Step 4: Simplify right side
    1,037.12x = 1,433,529.34
  5. Step 5: Solve for x
    x = 1,433,529.34/1,037.12
  6. Step 6: Final answer
    x = 1,382.22

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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.