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Finding the Fourth Proportional to 15,397, 23,085.16 and 7,905.10

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Solution

The fourth proportional to 15,397, 23,085.16 and 7,905.10 is: 11,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397 : 23,085.16 = 7,905.10 : x
  2. Step 2: Convert to fraction form
    15,397/23,085.16 = 7,905.10/x
  3. Step 3: Cross multiply
    15,397x = 23,085.16 × 7,905.10
  4. Step 4: Simplify right side
    15,397x = 182,490,498.32
  5. Step 5: Solve for x
    x = 182,490,498.32/15,397
  6. Step 6: Final answer
    x = 11,852.34

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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.