Home / 1,530.58-2,113.14-971.86

Finding the Fourth Proportional to 1,530.58, 2,113.14 and 971.86

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Solution

The fourth proportional to 1,530.58, 2,113.14 and 971.86 is: 1,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.58 : 2,113.14 = 971.86 : x
  2. Step 2: Convert to fraction form
    1,530.58/2,113.14 = 971.86/x
  3. Step 3: Cross multiply
    1,530.58x = 2,113.14 × 971.86
  4. Step 4: Simplify right side
    1,530.58x = 2,053,676.24
  5. Step 5: Solve for x
    x = 2,053,676.24/1,530.58
  6. Step 6: Final answer
    x = 1,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.