Home / 1,547.70-2,314.80-1,384.35

Finding the Fourth Proportional to 1,547.70, 2,314.80 and 1,384.35

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Solution

The fourth proportional to 1,547.70, 2,314.80 and 1,384.35 is: 2,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.70 : 2,314.80 = 1,384.35 : x
  2. Step 2: Convert to fraction form
    1,547.70/2,314.80 = 1,384.35/x
  3. Step 3: Cross multiply
    1,547.70x = 2,314.80 × 1,384.35
  4. Step 4: Simplify right side
    1,547.70x = 3,204,493.38
  5. Step 5: Solve for x
    x = 3,204,493.38/1,547.70
  6. Step 6: Final answer
    x = 2,070.49

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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.