Home / 1,417.94-2,124.11-972.11

Finding the Fourth Proportional to 1,417.94, 2,124.11 and 972.11

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Solution

The fourth proportional to 1,417.94, 2,124.11 and 972.11 is: 1,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.94 : 2,124.11 = 972.11 : x
  2. Step 2: Convert to fraction form
    1,417.94/2,124.11 = 972.11/x
  3. Step 3: Cross multiply
    1,417.94x = 2,124.11 × 972.11
  4. Step 4: Simplify right side
    1,417.94x = 2,064,863.71
  5. Step 5: Solve for x
    x = 2,064,863.71/1,417.94
  6. Step 6: Final answer
    x = 1,456.24

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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.