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Finding the Fourth Proportional to 10,547.78, 14,555.36 and 5,831.75

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Solution

The fourth proportional to 10,547.78, 14,555.36 and 5,831.75 is: 8,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.78 : 14,555.36 = 5,831.75 : x
  2. Step 2: Convert to fraction form
    10,547.78/14,555.36 = 5,831.75/x
  3. Step 3: Cross multiply
    10,547.78x = 14,555.36 × 5,831.75
  4. Step 4: Simplify right side
    10,547.78x = 84,883,191.52
  5. Step 5: Solve for x
    x = 84,883,191.52/10,547.78
  6. Step 6: Final answer
    x = 8,047.49

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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.