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Finding the Fourth Proportional to 28,270.13, 42,424.63 and 9,802.13

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Solution

The fourth proportional to 28,270.13, 42,424.63 and 9,802.13 is: 14,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,270.13 : 42,424.63 = 9,802.13 : x
  2. Step 2: Convert to fraction form
    28,270.13/42,424.63 = 9,802.13/x
  3. Step 3: Cross multiply
    28,270.13x = 42,424.63 × 9,802.13
  4. Step 4: Simplify right side
    28,270.13x = 415,851,501.83
  5. Step 5: Solve for x
    x = 415,851,501.83/28,270.13
  6. Step 6: Final answer
    x = 14,709.93

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1.5x scale

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.