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Finding the Fourth Proportional to 19,360, 26,712.68 and 11,399.32

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Solution

The fourth proportional to 19,360, 26,712.68 and 11,399.32 is: 15,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,360 : 26,712.68 = 11,399.32 : x
  2. Step 2: Convert to fraction form
    19,360/26,712.68 = 11,399.32/x
  3. Step 3: Cross multiply
    19,360x = 26,712.68 × 11,399.32
  4. Step 4: Simplify right side
    19,360x = 304,506,387.38
  5. Step 5: Solve for x
    x = 304,506,387.38/19,360
  6. Step 6: Final answer
    x = 15,728.64

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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.