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Finding the Fourth Proportional to 1,828.61, 2,742.86 and 530.07

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Solution

The fourth proportional to 1,828.61, 2,742.86 and 530.07 is: 795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.61 : 2,742.86 = 530.07 : x
  2. Step 2: Convert to fraction form
    1,828.61/2,742.86 = 530.07/x
  3. Step 3: Cross multiply
    1,828.61x = 2,742.86 × 530.07
  4. Step 4: Simplify right side
    1,828.61x = 1,453,905.15
  5. Step 5: Solve for x
    x = 1,453,905.15/1,828.61
  6. Step 6: Final answer
    x = 795.09

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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.