Home / 1,531.60-2,112.80-971.76

Finding the Fourth Proportional to 1,531.60, 2,112.80 and 971.76

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Solution

The fourth proportional to 1,531.60, 2,112.80 and 971.76 is: 1,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.60 : 2,112.80 = 971.76 : x
  2. Step 2: Convert to fraction form
    1,531.60/2,112.80 = 971.76/x
  3. Step 3: Cross multiply
    1,531.60x = 2,112.80 × 971.76
  4. Step 4: Simplify right side
    1,531.60x = 2,053,134.53
  5. Step 5: Solve for x
    x = 2,053,134.53/1,531.60
  6. Step 6: Final answer
    x = 1,340.52

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1.5x scale

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.