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Finding the Fourth Proportional to 25,607, 38,416.98 and 7,139

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Solution

The fourth proportional to 25,607, 38,416.98 and 7,139 is: 10,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607 : 38,416.98 = 7,139 : x
  2. Step 2: Convert to fraction form
    25,607/38,416.98 = 7,139/x
  3. Step 3: Cross multiply
    25,607x = 38,416.98 × 7,139
  4. Step 4: Simplify right side
    25,607x = 274,258,820.22
  5. Step 5: Solve for x
    x = 274,258,820.22/25,607
  6. Step 6: Final answer
    x = 10,710.31

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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.