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Finding the Fourth Proportional to 10,417.78, 14,376.51 and 5,702.02

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Solution

The fourth proportional to 10,417.78, 14,376.51 and 5,702.02 is: 7,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.78 : 14,376.51 = 5,702.02 : x
  2. Step 2: Convert to fraction form
    10,417.78/14,376.51 = 5,702.02/x
  3. Step 3: Cross multiply
    10,417.78x = 14,376.51 × 5,702.02
  4. Step 4: Simplify right side
    10,417.78x = 81,975,147.55
  5. Step 5: Solve for x
    x = 81,975,147.55/10,417.78
  6. Step 6: Final answer
    x = 7,868.77

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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.