Home / 1,509.11-2,082.50-836.93

Finding the Fourth Proportional to 1,509.11, 2,082.50 and 836.93

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Solution

The fourth proportional to 1,509.11, 2,082.50 and 836.93 is: 1,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.11 : 2,082.50 = 836.93 : x
  2. Step 2: Convert to fraction form
    1,509.11/2,082.50 = 836.93/x
  3. Step 3: Cross multiply
    1,509.11x = 2,082.50 × 836.93
  4. Step 4: Simplify right side
    1,509.11x = 1,742,892.13
  5. Step 5: Solve for x
    x = 1,742,892.13/1,509.11
  6. Step 6: Final answer
    x = 1,154.92

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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.