Home / 1,532.51-2,298.77-916.39

Finding the Fourth Proportional to 1,532.51, 2,298.77 and 916.39

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Solution

The fourth proportional to 1,532.51, 2,298.77 and 916.39 is: 1,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.51 : 2,298.77 = 916.39 : x
  2. Step 2: Convert to fraction form
    1,532.51/2,298.77 = 916.39/x
  3. Step 3: Cross multiply
    1,532.51x = 2,298.77 × 916.39
  4. Step 4: Simplify right side
    1,532.51x = 2,106,571.01
  5. Step 5: Solve for x
    x = 2,106,571.01/1,532.51
  6. Step 6: Final answer
    x = 1,374.59

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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.