Home / 1,526.34-2,106.35-897.28

Finding the Fourth Proportional to 1,526.34, 2,106.35 and 897.28

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Solution

The fourth proportional to 1,526.34, 2,106.35 and 897.28 is: 1,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.34 : 2,106.35 = 897.28 : x
  2. Step 2: Convert to fraction form
    1,526.34/2,106.35 = 897.28/x
  3. Step 3: Cross multiply
    1,526.34x = 2,106.35 × 897.28
  4. Step 4: Simplify right side
    1,526.34x = 1,889,985.73
  5. Step 5: Solve for x
    x = 1,889,985.73/1,526.34
  6. Step 6: Final answer
    x = 1,238.25

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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.