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Finding the Fourth Proportional to 1,533.36, 2,116.08 and 903.93

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Solution

The fourth proportional to 1,533.36, 2,116.08 and 903.93 is: 1,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.36 : 2,116.08 = 903.93 : x
  2. Step 2: Convert to fraction form
    1,533.36/2,116.08 = 903.93/x
  3. Step 3: Cross multiply
    1,533.36x = 2,116.08 × 903.93
  4. Step 4: Simplify right side
    1,533.36x = 1,912,788.19
  5. Step 5: Solve for x
    x = 1,912,788.19/1,533.36
  6. Step 6: Final answer
    x = 1,247.45

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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.