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Finding the Fourth Proportional to 21,258.54, 31,888.13 and 7,407.54

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Solution

The fourth proportional to 21,258.54, 31,888.13 and 7,407.54 is: 11,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258.54 : 31,888.13 = 7,407.54 : x
  2. Step 2: Convert to fraction form
    21,258.54/31,888.13 = 7,407.54/x
  3. Step 3: Cross multiply
    21,258.54x = 31,888.13 × 7,407.54
  4. Step 4: Simplify right side
    21,258.54x = 236,212,561.46
  5. Step 5: Solve for x
    x = 236,212,561.46/21,258.54
  6. Step 6: Final answer
    x = 11,111.42

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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.