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Finding the Fourth Proportional to 9,020, 12,448.80 and 5,294

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Solution

The fourth proportional to 9,020, 12,448.80 and 5,294 is: 7,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020 : 12,448.80 = 5,294 : x
  2. Step 2: Convert to fraction form
    9,020/12,448.80 = 5,294/x
  3. Step 3: Cross multiply
    9,020x = 12,448.80 × 5,294
  4. Step 4: Simplify right side
    9,020x = 65,903,947.20
  5. Step 5: Solve for x
    x = 65,903,947.20/9,020
  6. Step 6: Final answer
    x = 7,306.42

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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.