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Finding the Fourth Proportional to 27,312.13, 40,970.41 and 7,590.68

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Solution

The fourth proportional to 27,312.13, 40,970.41 and 7,590.68 is: 11,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.13 : 40,970.41 = 7,590.68 : x
  2. Step 2: Convert to fraction form
    27,312.13/40,970.41 = 7,590.68/x
  3. Step 3: Cross multiply
    27,312.13x = 40,970.41 × 7,590.68
  4. Step 4: Simplify right side
    27,312.13x = 310,993,271.78
  5. Step 5: Solve for x
    x = 310,993,271.78/27,312.13
  6. Step 6: Final answer
    x = 11,386.64

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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.