Home / 1,315.08-1,972.64-1,053.86

Finding the Fourth Proportional to 1,315.08, 1,972.64 and 1,053.86

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Solution

The fourth proportional to 1,315.08, 1,972.64 and 1,053.86 is: 1,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.08 : 1,972.64 = 1,053.86 : x
  2. Step 2: Convert to fraction form
    1,315.08/1,972.64 = 1,053.86/x
  3. Step 3: Cross multiply
    1,315.08x = 1,972.64 × 1,053.86
  4. Step 4: Simplify right side
    1,315.08x = 2,078,886.39
  5. Step 5: Solve for x
    x = 2,078,886.39/1,315.08
  6. Step 6: Final answer
    x = 1,580.81

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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.