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Finding the Fourth Proportional to 7,153.40, 10,715.70 and 4,547

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Solution

The fourth proportional to 7,153.40, 10,715.70 and 4,547 is: 6,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.40 : 10,715.70 = 4,547 : x
  2. Step 2: Convert to fraction form
    7,153.40/10,715.70 = 4,547/x
  3. Step 3: Cross multiply
    7,153.40x = 10,715.70 × 4,547
  4. Step 4: Simplify right side
    7,153.40x = 48,724,287.90
  5. Step 5: Solve for x
    x = 48,724,287.90/7,153.40
  6. Step 6: Final answer
    x = 6,811.35

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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.