Home / 1,971.02-2,956.43-510.14

Finding the Fourth Proportional to 1,971.02, 2,956.43 and 510.14

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Solution

The fourth proportional to 1,971.02, 2,956.43 and 510.14 is: 765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.02 : 2,956.43 = 510.14 : x
  2. Step 2: Convert to fraction form
    1,971.02/2,956.43 = 510.14/x
  3. Step 3: Cross multiply
    1,971.02x = 2,956.43 × 510.14
  4. Step 4: Simplify right side
    1,971.02x = 1,508,175.87
  5. Step 5: Solve for x
    x = 1,508,175.87/1,971.02
  6. Step 6: Final answer
    x = 765.18

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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.