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Finding the Fourth Proportional to 31,465, 47,197.50 and 9,577

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Solution

The fourth proportional to 31,465, 47,197.50 and 9,577 is: 14,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465 : 47,197.50 = 9,577 : x
  2. Step 2: Convert to fraction form
    31,465/47,197.50 = 9,577/x
  3. Step 3: Cross multiply
    31,465x = 47,197.50 × 9,577
  4. Step 4: Simplify right side
    31,465x = 452,010,457.50
  5. Step 5: Solve for x
    x = 452,010,457.50/31,465
  6. Step 6: Final answer
    x = 14,365.50

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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.