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Finding the Fourth Proportional to 1,390.02, 1,916.02 and 1,109.76

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Solution

The fourth proportional to 1,390.02, 1,916.02 and 1,109.76 is: 1,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.02 : 1,916.02 = 1,109.76 : x
  2. Step 2: Convert to fraction form
    1,390.02/1,916.02 = 1,109.76/x
  3. Step 3: Cross multiply
    1,390.02x = 1,916.02 × 1,109.76
  4. Step 4: Simplify right side
    1,390.02x = 2,126,322.36
  5. Step 5: Solve for x
    x = 2,126,322.36/1,390.02
  6. Step 6: Final answer
    x = 1,529.71

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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.