Home / 31,365-47,047.50-12,897

Finding the Fourth Proportional to 31,365, 47,047.50 and 12,897

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Solution

The fourth proportional to 31,365, 47,047.50 and 12,897 is: 19,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365 : 47,047.50 = 12,897 : x
  2. Step 2: Convert to fraction form
    31,365/47,047.50 = 12,897/x
  3. Step 3: Cross multiply
    31,365x = 47,047.50 × 12,897
  4. Step 4: Simplify right side
    31,365x = 606,771,607.50
  5. Step 5: Solve for x
    x = 606,771,607.50/31,365
  6. Step 6: Final answer
    x = 19,345.50

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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.