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Finding the Fourth Proportional to 10,053.91, 13,870.60 and 7,407.64

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Solution

The fourth proportional to 10,053.91, 13,870.60 and 7,407.64 is: 10,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.91 : 13,870.60 = 7,407.64 : x
  2. Step 2: Convert to fraction form
    10,053.91/13,870.60 = 7,407.64/x
  3. Step 3: Cross multiply
    10,053.91x = 13,870.60 × 7,407.64
  4. Step 4: Simplify right side
    10,053.91x = 102,748,411.38
  5. Step 5: Solve for x
    x = 102,748,411.38/10,053.91
  6. Step 6: Final answer
    x = 10,219.75

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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.