Home / 1,533.52-2,116.74-904.02

Finding the Fourth Proportional to 1,533.52, 2,116.74 and 904.02

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Solution

The fourth proportional to 1,533.52, 2,116.74 and 904.02 is: 1,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.52 : 2,116.74 = 904.02 : x
  2. Step 2: Convert to fraction form
    1,533.52/2,116.74 = 904.02/x
  3. Step 3: Cross multiply
    1,533.52x = 2,116.74 × 904.02
  4. Step 4: Simplify right side
    1,533.52x = 1,913,575.29
  5. Step 5: Solve for x
    x = 1,913,575.29/1,533.52
  6. Step 6: Final answer
    x = 1,247.83

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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.