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Finding the Fourth Proportional to 38,510.64, 53,132.76 and 21,743.64

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Solution

The fourth proportional to 38,510.64, 53,132.76 and 21,743.64 is: 29,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.64 : 53,132.76 = 21,743.64 : x
  2. Step 2: Convert to fraction form
    38,510.64/53,132.76 = 21,743.64/x
  3. Step 3: Cross multiply
    38,510.64x = 53,132.76 × 21,743.64
  4. Step 4: Simplify right side
    38,510.64x = 1,155,299,605.65
  5. Step 5: Solve for x
    x = 1,155,299,605.65/38,510.64
  6. Step 6: Final answer
    x = 29,999.49

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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.