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Finding the Fourth Proportional to 10,357.79, 14,293.71 and 5,642.10

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Solution

The fourth proportional to 10,357.79, 14,293.71 and 5,642.10 is: 7,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.79 : 14,293.71 = 5,642.10 : x
  2. Step 2: Convert to fraction form
    10,357.79/14,293.71 = 5,642.10/x
  3. Step 3: Cross multiply
    10,357.79x = 14,293.71 × 5,642.10
  4. Step 4: Simplify right side
    10,357.79x = 80,646,541.19
  5. Step 5: Solve for x
    x = 80,646,541.19/10,357.79
  6. Step 6: Final answer
    x = 7,786.08

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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.