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Finding the Fourth Proportional to 10,782, 14,885.64 and 7,062.48

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Solution

The fourth proportional to 10,782, 14,885.64 and 7,062.48 is: 9,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 14,885.64 = 7,062.48 : x
  2. Step 2: Convert to fraction form
    10,782/14,885.64 = 7,062.48/x
  3. Step 3: Cross multiply
    10,782x = 14,885.64 × 7,062.48
  4. Step 4: Simplify right side
    10,782x = 105,129,534.79
  5. Step 5: Solve for x
    x = 105,129,534.79/10,782
  6. Step 6: Final answer
    x = 9,750.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.