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Finding the Fourth Proportional to 7,038.42, 10,547.76 and 5,471.25

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Solution

The fourth proportional to 7,038.42, 10,547.76 and 5,471.25 is: 8,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.42 : 10,547.76 = 5,471.25 : x
  2. Step 2: Convert to fraction form
    7,038.42/10,547.76 = 5,471.25/x
  3. Step 3: Cross multiply
    7,038.42x = 10,547.76 × 5,471.25
  4. Step 4: Simplify right side
    7,038.42x = 57,709,431.90
  5. Step 5: Solve for x
    x = 57,709,431.90/7,038.42
  6. Step 6: Final answer
    x = 8,199.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.