Home / 1,284.18-1,924.96-975.38

Finding the Fourth Proportional to 1,284.18, 1,924.96 and 975.38

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Solution

The fourth proportional to 1,284.18, 1,924.96 and 975.38 is: 1,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.18 : 1,924.96 = 975.38 : x
  2. Step 2: Convert to fraction form
    1,284.18/1,924.96 = 975.38/x
  3. Step 3: Cross multiply
    1,284.18x = 1,924.96 × 975.38
  4. Step 4: Simplify right side
    1,284.18x = 1,877,567.48
  5. Step 5: Solve for x
    x = 1,877,567.48/1,284.18
  6. Step 6: Final answer
    x = 1,462.08

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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.