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Finding the Fourth Proportional to 21,258.84, 31,888.32 and 7,407.84

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Solution

The fourth proportional to 21,258.84, 31,888.32 and 7,407.84 is: 11,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258.84 : 31,888.32 = 7,407.84 : x
  2. Step 2: Convert to fraction form
    21,258.84/31,888.32 = 7,407.84/x
  3. Step 3: Cross multiply
    21,258.84x = 31,888.32 × 7,407.84
  4. Step 4: Simplify right side
    21,258.84x = 236,223,572.43
  5. Step 5: Solve for x
    x = 236,223,572.43/21,258.84
  6. Step 6: Final answer
    x = 11,111.78

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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.