Home / 1,543.08-2,312.46-1,023.45

Finding the Fourth Proportional to 1,543.08, 2,312.46 and 1,023.45

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Solution

The fourth proportional to 1,543.08, 2,312.46 and 1,023.45 is: 1,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.08 : 2,312.46 = 1,023.45 : x
  2. Step 2: Convert to fraction form
    1,543.08/2,312.46 = 1,023.45/x
  3. Step 3: Cross multiply
    1,543.08x = 2,312.46 × 1,023.45
  4. Step 4: Simplify right side
    1,543.08x = 2,366,687.19
  5. Step 5: Solve for x
    x = 2,366,687.19/1,543.08
  6. Step 6: Final answer
    x = 1,533.74

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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.