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Finding the Fourth Proportional to 19,768.47, 29,656.94 and 7,288.53

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Solution

The fourth proportional to 19,768.47, 29,656.94 and 7,288.53 is: 10,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.47 : 29,656.94 = 7,288.53 : x
  2. Step 2: Convert to fraction form
    19,768.47/29,656.94 = 7,288.53/x
  3. Step 3: Cross multiply
    19,768.47x = 29,656.94 × 7,288.53
  4. Step 4: Simplify right side
    19,768.47x = 216,155,460.46
  5. Step 5: Solve for x
    x = 216,155,460.46/19,768.47
  6. Step 6: Final answer
    x = 10,934.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.