Home / 1,564.81-2,338.03-1,510.30

Finding the Fourth Proportional to 1,564.81, 2,338.03 and 1,510.30

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Solution

The fourth proportional to 1,564.81, 2,338.03 and 1,510.30 is: 2,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.81 : 2,338.03 = 1,510.30 : x
  2. Step 2: Convert to fraction form
    1,564.81/2,338.03 = 1,510.30/x
  3. Step 3: Cross multiply
    1,564.81x = 2,338.03 × 1,510.30
  4. Step 4: Simplify right side
    1,564.81x = 3,531,119.16
  5. Step 5: Solve for x
    x = 3,531,119.16/1,564.81
  6. Step 6: Final answer
    x = 2,256.58

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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.