Home / 1,533.60-2,116.00-904.16

Finding the Fourth Proportional to 1,533.60, 2,116.00 and 904.16

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Solution

The fourth proportional to 1,533.60, 2,116.00 and 904.16 is: 1,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.60 : 2,116.00 = 904.16 : x
  2. Step 2: Convert to fraction form
    1,533.60/2,116.00 = 904.16/x
  3. Step 3: Cross multiply
    1,533.60x = 2,116.00 × 904.16
  4. Step 4: Simplify right side
    1,533.60x = 1,913,198.78
  5. Step 5: Solve for x
    x = 1,913,198.78/1,533.60
  6. Step 6: Final answer
    x = 1,247.52

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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.