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Finding the Fourth Proportional to 10,655.94, 14,699.80 and 7,124.34

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Solution

The fourth proportional to 10,655.94, 14,699.80 and 7,124.34 is: 9,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.94 : 14,699.80 = 7,124.34 : x
  2. Step 2: Convert to fraction form
    10,655.94/14,699.80 = 7,124.34/x
  3. Step 3: Cross multiply
    10,655.94x = 14,699.80 × 7,124.34
  4. Step 4: Simplify right side
    10,655.94x = 104,726,373.13
  5. Step 5: Solve for x
    x = 104,726,373.13/10,655.94
  6. Step 6: Final answer
    x = 9,827.98

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