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Finding the Fourth Proportional to 14,547.40, 20,075.42 and 7,923.40

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Solution

The fourth proportional to 14,547.40, 20,075.42 and 7,923.40 is: 10,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.40 : 20,075.42 = 7,923.40 : x
  2. Step 2: Convert to fraction form
    14,547.40/20,075.42 = 7,923.40/x
  3. Step 3: Cross multiply
    14,547.40x = 20,075.42 × 7,923.40
  4. Step 4: Simplify right side
    14,547.40x = 159,065,582.83
  5. Step 5: Solve for x
    x = 159,065,582.83/14,547.40
  6. Step 6: Final answer
    x = 10,934.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.