Home / 2,145.14-3,215.63-975.45

Finding the Fourth Proportional to 2,145.14, 3,215.63 and 975.45

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Solution

The fourth proportional to 2,145.14, 3,215.63 and 975.45 is: 1,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.14 : 3,215.63 = 975.45 : x
  2. Step 2: Convert to fraction form
    2,145.14/3,215.63 = 975.45/x
  3. Step 3: Cross multiply
    2,145.14x = 3,215.63 × 975.45
  4. Step 4: Simplify right side
    2,145.14x = 3,136,681.41
  5. Step 5: Solve for x
    x = 3,136,681.41/2,145.14
  6. Step 6: Final answer
    x = 1,462.23

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1.5x scale

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.