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Finding the Fourth Proportional to 10,602.24, 14,582.40 and 8,501.76

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Solution

The fourth proportional to 10,602.24, 14,582.40 and 8,501.76 is: 11,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.24 : 14,582.40 = 8,501.76 : x
  2. Step 2: Convert to fraction form
    10,602.24/14,582.40 = 8,501.76/x
  3. Step 3: Cross multiply
    10,602.24x = 14,582.40 × 8,501.76
  4. Step 4: Simplify right side
    10,602.24x = 123,976,065.02
  5. Step 5: Solve for x
    x = 123,976,065.02/10,602.24
  6. Step 6: Final answer
    x = 11,693.38

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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.