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Finding the Fourth Proportional to 9,630, 14,430.33 and 6,862.50

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Solution

The fourth proportional to 9,630, 14,430.33 and 6,862.50 is: 10,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630 : 14,430.33 = 6,862.50 : x
  2. Step 2: Convert to fraction form
    9,630/14,430.33 = 6,862.50/x
  3. Step 3: Cross multiply
    9,630x = 14,430.33 × 6,862.50
  4. Step 4: Simplify right side
    9,630x = 99,028,139.63
  5. Step 5: Solve for x
    x = 99,028,139.63/9,630
  6. Step 6: Final answer
    x = 10,283.30

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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.