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Finding the Fourth Proportional to 13,547.48, 20,328.98 and 7,307.46

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Solution

The fourth proportional to 13,547.48, 20,328.98 and 7,307.46 is: 10,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.48 : 20,328.98 = 7,307.46 : x
  2. Step 2: Convert to fraction form
    13,547.48/20,328.98 = 7,307.46/x
  3. Step 3: Cross multiply
    13,547.48x = 20,328.98 × 7,307.46
  4. Step 4: Simplify right side
    13,547.48x = 148,553,171.65
  5. Step 5: Solve for x
    x = 148,553,171.65/13,547.48
  6. Step 6: Final answer
    x = 10,965.38

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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.